an object moving in a straight line has a velocity v in meters per second that varies with time t in seconds according to the following function. v

Answers

Answer 1

Based on the calculations, the instantaneous acceleration of this object at time, t = 2 seconds is equal to 2 m/s^2.

What is velocity?

Velocity can be defined as the distance covered by an object per unit of time. This ultimately implies that, velocity is a vector quantity because it has both magnitude and direction. Also, velocity can be measured as meter per seconds.

Mathematically, the velocity of any physical object can be calculated by using this formula:

Velocity = displacement/time

What is an instantaneous acceleration?

An instantaneous acceleration can be defined as a continuous function of time which gives the ratio of change in velocity of a physical object. Mathematically, instantaneous acceleration can be calculated by taking the derivate of the velocity function.

Taking the derivate of the velocity function, we have:

Velocity, v = 4 + 0.5t^2

dv/dt = 0 + (0.5 × 2)×t^{2-1}

dv/dt = t

Substituting the value of time (t), we have:

Instantaneous acceleration, dv/dt = t

Instantaneous acceleration, dv/dt = 2 m/s^2.

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Complete Question:

An object moving in a straight line has a velocity v in meters per second that varies with time t in seconds according to the following function: v = 4 + 0.5t^2

The instantaneous acceleration of the object at t = 2 seconds is:

answer choices

2 m/s^2

4 m/s^2

5 m/s^2

6 m/s^2

8 m/s^2


Related Questions

if the water in a lake is everywhere at rest, what is the pressure as a function of the distance from the surface?

Answers

The pressure as a function of the distance from the surface is 101325 + 10055.25h

One must go h = 10.1 m down before the pressure is 1 atm greater than the pressure at the surface.

What are the pressure and absolute pressure?

In order to determine absolute pressure, a complete vacuum is used. In contrast, gauge pressure is the amount of pressure that is measured in relation to atmospheric pressure, also referred to as barometric pressure. The average barometric pressure at sea level is 14.7 PSIA, while the absolute pressure of a complete vacuum is 0 PSIA.

The pressure at sea level =  1 atm = 101325 Pa

Density of sea water = 1025 kg/ m^(3)

Pressure due to fluid height = pgh

Absolute pressure = 101325 + 1025(9.81) h

= 101325 + 10055.25h

where h= 0 at sea level at increases downward

101325 = 1025(9.81)h

h = 10.1 m

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The complete question is:

"If the water in a lake is everywhere at rest, what is the pressure as a function of distance from the surface? The air above the surface of the water is at standard sea-level atmospheric conditions. How far down must one go before the pressure is 1 atm greater than the pressure at the surface?"

Consider two vectors A⃗ and B⃗ and their re- sultant A⃗ + B⃗ . The magnitudes of the vectors A⃗ and B⃗ are, respectively, 13.9 and 5.9 and they act at 53◦ to each other.

B⃗
A⃗ + B⃗
A⃗
Find the magnitude of the resultant vector A⃗ + B⃗ .

Answers

Use the dot product identity,

[tex]\vec x \cdot \vec y = \|\vec x\| \|\vec y\| \cos(\theta)[/tex]

where [tex]\theta[/tex] is the measure of the angle between the two vectors [tex]\vec x,\vec y[/tex]. Note that

[tex]\vec x \cdot \vec x = \|\vec\| \|\vec x\| \cos(0) = \|\vec x\|^2[/tex]

Applying the identity to [tex]\vec x = \vec y = \vec A + \vec B[/tex] and using the distributive and commutative properties of the dot product, we get

[tex](\vec A + \vec B) \cdot (\vec A + \vec B) = (\vec A \cdot \vec A) + 2 (\vec A \cdot \vec B) + (\vec B \cdot \vec B)[/tex]

which is equivalent to

[tex]\|\vec A + \vec B\|^2 = \|\vec A\|^2 + 2\|\vec A\|\|\vec B\| \cos(\theta) + \|\vec B\|^2[/tex]

Now, we're given [tex]\|\vec A\| = 13.9[/tex], [tex]\|\vec B\| = 5.9[/tex], and [tex]\theta=53^\circ[/tex], so that

[tex]\|\vec A + \vec B\| = \sqrt{13.9^2 + 2\cdot13.9\cdot5.9\cos(53^\circ) + 5.9^2} \approx \boxed{18.1}[/tex]

occam's razor states that choose one: a. if two hypotheses fit the facts equally well, choose the one with fewer assumptions. b. the laws of nature are the same everywhere in the universe. c. the universe is expanding in all directions. d. patterns in nature are really manifestations of random occurrences.

Answers

Option a: if two hypotheses fit the facts equally well, choose the one with fewer assumptions.

Occam's razor states that principle of problem solving is that entities should not multiply more than necessary

Occam's Razor is the process of gathering information to make the search for the truth easier. In science, it gets rid of all assumptions that have no bearing on the predictions of the hypothesis. If you have several hypotheses that could explain an observation, it is usually best to start with the simplest one.

Occam's Razor is often at the root of a paradigm shift, where an established theory is replaced by a simpler alternative that also fits the data. For example, Ptolemy's epicycles were replaced by a simpler theory that explained the data without multiplying the elements.

Therefore Option (a) is correct.

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a student is provided with a battery-powered toy car that the manufacturer claims will always operate at a constant speed. the student must design an experiment in order to test the validity of the claim. which of the following measuring tools can the student use to test the validity of the claim? select two answers.

Answers

Correct question is -

A student is provided with a battery-powered toy car that the manufacturer claims will always operate at a constant speed. The student must design an experiment in order to test the validity of the claim. Which of the following measuring tools can the student use to test the validity of the claim?

a. Photogates placed at the beginning, end, and at various locations along the track that the car travels on.

b. A meterstick to measure the distance of the track that the car travels on.

c. A motion detector that is oriented perpendicular to the direction that the car travels.

d. A mass balance to determine the mass of the car

a. Photogates positioned at the beginning, give up, and at numerous locations along the music that the car travels on.

b. A meterstick to degree the distance of the track that the automobile travels on.

Physics may be described as the field or branch of technology that normally offers with nature and residences of count, motion and electricity with admire to space, pressure and time.

on this scenario, a student is provided with a battery-powered toy vehicle that the manufacturer claims will continually function at a consistent speed. The student have to layout an test so as to check the validity of the declare.

consequently, to check the validity of the declare, the student must use the following measuring tools;

a. Photogates placed at the beginning, cease, and at diverse places alongside the song that the automobile travels on. This tool is normally used to degree time with admire to the price of change of the interruption or block of an infra-pink beam.b. A meterstick to measure the space of the track that the car travels on

subsequently, with those two gadgets the student can successfully measure or determine the validity of the declare.

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to find the total field you have to sum over all dq’s corresponding to each increment of length dx’. summing of infinitesimals is called integration. set up the integral over the length of the line of charge, including correct limits and integration variables.

Answers

A to find the total field you have to sum over all d's corresponding to each increment of length dx'. Summing of infinitesimals is called integration.

What is integration?

Combination is the computation of a vital. Integrals in math's are utilized to find numerous helpful amounts like regions, volumes, relocation, and so on. Researchers who predicted the idea of a basic, was the old Greek researcher Endous of Cnidus, who lived around 408-355 years BC. At the point when we talk about integrals, it is connected with typically unmistakable integrals. The endless integrals are utilized for antiderivatives. Vital conditions are arranged by three distinct divisions, making eight various types: Essential conditions are significant in numerous applications. The positive indispensable of a capability f (x) with lower cutoff and maximum breaking point b might be characterized as the distinction where F (x) is an antiderivative of the capability f (x).

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A calorimeter for which mc = 25 J K−1 contains
140 g of a liquid. An immersion heater is used to
provide energy at a rate of 40 W for a total time of
4.0 min. The temperature of the liquid increases by
15.8 °C. Calculate the specific heat capacity of the
liquid. State an assumption made in reaching this
result.

Answers

The liquid's specific heat capacity is 4.2 kJ kg⁻¹ K⁻¹.

In a calorimeter, mc = 25 J K⁻¹.

The calorimeter contains m(l) = 140 g = 140 × 10⁻³ kg of liquid.

The energy is provided at a rate of Q = 40 W for a time of 4 minutes.

The liquid's temperature increases by ΔT = 15.8° C = 15.8° K.

Q = mcΔT

The equation tells you how much heat is given (Q or E), how much of that heat changes the material's temperature T, and how much of that heat is applied to a mass-m material with a specific heat capacity (c).

Now, the heat supplied will be:

Q = mcΔT + m(liquid) c(liquid)ΔT

Q = mcΔT + m(l) c(l)ΔT

c(l) = ( Q - mcΔT ) / m(l)ΔT

Now, the heat supplied is Q = 40 W = 40 J/s = 40 × 4 × 60s = 9600 J

c(l) = { ( 9600 - 25 × 15.8 ) / [ (140 × 10⁻³) × 15.8 ] }

c(l) = ( 9600 - 395 ) / [ 2212 × 10⁻³ ]

c(l) = 9205 / 2212 × 10⁻³

c(l) = 4.1614 × 10³ = 4.2 kJ kg⁻¹ K⁻¹

The specific heat capacity of the liquid is 4.2 kJ kg⁻¹ K⁻¹.

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A girl rides her bike up a steep hill 2.4 kilometers in 8 minutes. What is her speed?

Answers

Answer:

0.3km/min

Explanation:

2.4/8=24/80=3/10=0.3

The passage of a current of 0.750 a for 25.0 min deposited 0.369 g of copper from a 4 solution. from this information, calculate the molar mass of copper.

Answers

The passage of a current of 0.750A for 25.0 min deposited 0.369 g of copper from a solution. From this information, the molar mass of copper is 63.3u.

How to calculate the molar mass of copper?

First we will convert the time from mins to sec,

Hence,

Time = 25min = 25*60 sec

Current = 0.75A

Electricity passed is given by:

[tex]Q=I\times T \\Q=0.75 \times25\times60\\Q=1125C[/tex]

The reaction that will take place is:

[tex]Cu^{2+}+2e^_- } \rightarrow Cu[/tex]

Hence, there are 2 atoms of copper.

We know, Faraday's number is 96500, and as there are 2 atoms of copper, therefore, the value of Z = 96500*2.

We are given that the deposited mass is 0.369g

Hence, the molar mass of copper will be:

[tex]M=\frac{2\times 96500 \times 0.369}{1125}=63.3u[/tex]

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part b run the video frame-by-frame again. now describe the car’s velocity (speed and direction) over time.

Answers

Velocity is the direction in which an object is moving and serves as a measure of the pace at which its position is changing as seen from a particular point of view.

What do you mean by motion?

Motion in physics is the phenomenon in which an object shifts in relation to time. Motion is quantitatively characterized in terms of the body's change in position with respect to the observer's frame of reference as well as the velocity, acceleration, and speed of the body. Kinematics is the area of physics that studies forces and how they affect motion, while dynamics is the area that studies motion in relation to its causes.

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a river flows toward the east. because of your knowledge of physics, you head your boat 53 degrees west of north

Answers

Velocity of the current is 2.7 m/s and the velocity of the boat relative to the water is 4.8 m/s.

Define the velocity?

The pace at which a moving object's location changes as seen from a specific frame of reference and as measured by a specific time standard is known as its velocity. In kinematics, the area of classical mechanics that studies how bodies move, velocity is a fundamental idea.

Given:

[tex]West\;of\;north\;angle,\;\alpha=56\;^{\circ}[/tex]

[tex]Velocity\;of\;boat\;relative\;to\;shore,\;V_{b} = 4 m/s[/tex]

From the right angle triangle ABC, (see the attached figure)

[tex]sin\;\alpha=\frac{V_{b} }{V_{b,c} }[/tex]

[tex]V_{b,c}=\frac{V_{b} }{sin\;\alpha}[/tex]

Substitute the known values in the above equation,

[tex]V_{b,c}=\frac{4}{sin\;56^{\circ}}[/tex]

By solving the above equation, We get

[tex]Velocity\;of\;boat\;relative\;to\;water,V_{b,c}=4.8\;m/s[/tex]

[tex]cos\;\alpha=\frac{V_{c} }{V_{b,c} }[/tex]

[tex]V_{c}={V_{b,c}}\times{cos\;\alpha}[/tex]

Substitute the known values in the above equation,

[tex]V_{c}={4.8}\times{cos\;56^{\circ}}[/tex]

By solving the above equation, We get

[tex]Velocity\;of\;current,\;V_{c}=2.7\;m/s[/tex]

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According to the law of multiple proportions, if 12 g of carbon combine with 16 g of oxygen to form co, the number of grams of carbon that combine with 16 g of oxygen in the formation of co2 is ________.

Answers

Answer: Carbon and oxygen combine together to give two compounds carbon dioxide (CO 2) and carbon monoxide (CO) Thus the ratio of different weights of oxygen (32 and 16) combining with a fixed weight of carbon (12) is 32 : 16 i.e. 2 :1, which is simple whole number ratio. Illustration 2:

Explanation:

At highway speeds, anautomobileis capable of an acceleration of about 1.6m/s2. at this rate, how long does it take to accelerate from 80km/hto 110km/h?

Answers

At highway speeds, an automobile is capable of an acceleration of about 1.6m/s2. at this rate, it take to accelerate from 80km/h to 110km/h is 5.2084s.

What is velocity?

Velocity is the directional speed of a object in motion as an indication of its rate of change in the position as observed from a particular frame of reference and as measured by a particular standard of the time (e.g. 60 km/h northbound). Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of the bodies.

Velocity is a physical vector quantity; both the magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called the speed, being a coherent derived unit whose quantity is measured in the SI (metric system) as meters per second (m/s or m⋅s−1). If there is a change in the speed, direction or both, then the object is said to be undergoing an acceleration

Therefore,

v = v0 + at, where v is the final velocity, v0 is initial velocity, a is acceleration and t is time, solve for t:

t = (v - v0) / a,

note that all the variables must be in the same units, we want m/s which is a:

110 km / hour = (110 * 1000) / (60 * 60) = 30.5556 m/s:

80 km / hour = (80 * 1000) / (60 * 60) = 22.2222 m/s:

t = (30.5556 - 22.2222) / 1.6 = 5.2084 s

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Carbon atoms have an atomic radius of 70 picometers, or 7.0 x 10 meters (1 m = 10 pm). if exactly 1 mole of carbon atoms were lined up in a row, about how long would the line of atoms be?

Answers

By Avogadro's number, the carbon atoms length is 8.428 x 10¹³ m.

We need to know about Avogadro's number to solve this problem. Avogadro's number is the number that explains how many carbon atoms are in one mol. The Avogadro's number is

Na =  6,02 × 10²³ atoms / mol

From the question above, we know that

n = 1 mol

r = 70 pm = 70 x 10¯¹² m

By using Avogadro's number, we can calculate how many carbon atoms

N = Na . n

N = 6,02 × 10²³ x 1

N = 6,02 × 10²³ atoms

As we know one atom's length is equal to its diameter, Hence

atom length = d

atom length = 2 x r

atom length = 2 x 70 x 10¯¹²

atom length = 140 x 10¯¹² m

Calculate the length of 1 mol Carbon atoms length

length = N x atom length

length = 6,02 × 10²³ x 140 x 10¯¹²

length = 8.428 x 10¹³ m

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a vector has an x component of -22.5 units and a y component of 37.4 units. find the magnitude and direction of this vector.

Answers

The magnitude of the vector is 43.81 units and the direction of the vector is 120.89 degrees with a +x-axis counterclockwise.

What is the magnitude and direction of a vector?

The length for a certain vector (let's say v) can be calculated by using the symbol |v|, which stands for the magnitude of a vector formula. In essence, this measurement represents the separation between the vector's starting and ending points. We apply the distance formula to get the vector's magnitude.

Its direction indicates where it points. Although vector direction can be expressed in a number of ways, degrees are the most frequent notation.

The magnitude of the given vector will be

[tex]\vec{r} &=x i+y j \\\vec{r}=-22.5 \hat{i}+37.6 \hat{j} \\{[\vec{r}] } &=\sqrt{(22.5)^2+(37.6)^2} \\&=43.81 units[/tex]

The direction of the vector will be

tanα=[tex]\frac{y}{x}\\[/tex]

[tex]=tan^{-1}(\frac{y}{x})\\=tan^{-1}(\frac{37.6}{22.5}\\=59.103 degree[/tex]

Therefore, the direction of the vector is 120.89 degrees with the +x-axis counterclockwise.

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Which key difference between carbon and silicon makes carbon better suited to forming molecules for living things?

Carbon has the right number of outer electrons to form a wide range of molecules.

Oxidized carbon is a gas at room temperature, rather than a solid.

Carbon has a greater atomic mass, allowing for stronger molecules.

Carbon is a naturally occurring element, so it is readily available.

Answers

Oxidized carbon is a gas at room temperature, rather than a solid is the difference between carbon and silicon which makes carbon better suited to forming molecules for living things and is denoted as option B.

What is Carbon?

This is referred to an element with as symbol of C and an atomic number of 6. It has four valence electrons and is able to form different types of substances by sharing the electrons with other elements which resulting in the formation of a new product.

It also has the ability to form multiple bonds which makes it unique and is present in nature in the form of gas, solids etc and is used by plants to manufacture food during photosynthesis.

Plants are a major source of food for animals and the oxidized carbon which is carbon dioxide which is a gas at room temperature is the reason why they are better suited to form molecules for living things.

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Answer:

B

Explanation:

if the man is moving from a position of 0 m to 6 m in 3 seconds he will move than he would have if he moved from a position of – 4 m to 0 m in 3 seconds.

Answers

His relative speed in the first case will be faster than the second one.

Think about two bodies going in the same direction but at different speeds.

Let x km/hr be the first body's speed.

And the second body moves at a speed of y km/hr.

They are moving at a relative speed of (x - y) km/hr, where x>y.

After then, the time when the two bodies collide equals the distance travelled divided by the relative speed, or dkm/(x - y) km/hr.

We now understand that an object's relative speed is its speed in relation to another object.

Therefore, if the time after which both bodies move is provided, let's assume that time = t hours.

Distance travelled in t hours is then calculated as follows: (x - y) km/hr * t hrs.


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How does the atmosphere affect life on earth? Include both positive and negative effects.

Answers

The Earth's atmosphere blocks the sun's rays as they travel toward us. The atmosphere's layers act as a filter, allowing just the radiation needed to support life to pass through while blocking the dangerous radiation from reaching the Earth's surface. Our globe is warmed by the sun's energy as it travels through the atmosphere, supplying light energy for photosynthesis and powering the biogeochemical cycles in the Earth's systems. The object that cannot pass through, on the other hand, is reflected back into space.

The global temperature does, however, increase as more heat is trapped by the atmosphere. Global warming is the name of this occurrence.

Global warming is the phenomenon that results in a change in our climate. Natural calamities like wildfires, flooding, and severe storms occur more frequently when this happens.

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A rocket is accelerating upward from the surface of earth with an acceleration of 4. 4 m/s2. On board the rocket is a 0. 060 kg chicken egg. What is the apparent weight of the egg?.

Answers

The apparent weight of the egg is 0.264N

Here the rocket is accelerating upward from the surface of the earth. The egg is on the rocket.

The acceleration due to gravity is 4.4m/[tex]s^{2}[/tex].

The mass of a chicken egg is 0.060 kg.

Form Newton's second law, the net force acting on a body is equal to the product of mass and acceleration due to gravity.

So form Newton's second law we know the formula i.e.,

                     F = mass × acceleration

                        = 0.06 × 4.4

                        = 0.264N

Therefore the apparent weight of the egg is 0.264N.

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how does it take bee to travel 90 miles of she travels a constant speed of 60 mph in her car?

a, 2 hours and 15 minutes
b, 1 hour and 30 minute
c, 1/2 an hour
d, 30 minutes
e, 45 minutes


help pls ​

Answers

Answer:

b

Explanation:

90 miles

60 mph (miles per hour)

1 hour = 60 minutes = 60 miles

90 miles - 60 miles = 30 miles

30 miles = 30 minutes

1 hour and 30 minutes

If a car accelerates from a stand still to 60 km/s in 10 seconds what is its acceleration

Answers

Answer:

I think it's 6 km/s^2

Explanation:

We know that velocity is 60 km/s and time is 10 seconds.

We need to find acceleration, so we need to use a=v/t.

Add in your numbers into the equation giving you a=60 km/s divided by 10s.

Your units for acceleration are km/s^2

Your answer should end up being 6 km/s^2

Hope I'm right and if I'm wrong I hope my physics teacher doesn't see this...

a medicine ball has 10 J of energy and is thrown upward with a velocity of 2 m/s. what is its mass

Answers

5 is the mass in this problem

There are 9 different positions on a baseball team. if a team has 13 players how many different line-ups can the team make? the team can make different line-ups.

Answers

The team can make different line-ups in 13!(13−9)!=13!4! ways.

For the first spot in the lineup, there are 13 possibilities, for the second spot there are 12 possibilities, continuing in this fashion there are 5 possibilities for the ninth spot in the lineup. So there are

13 × 12 × • • • × 5 = 259459200

possibilities.

To write it succinctly

13!(13−9)!=13!4!

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how would an observer on train a, which is moving at nearly the speed of light, view a clock on train b, which is moving at the same speed and in the same direction?

Answers

According to Special Relativity

two objects in relative motion always see the other moving through time slower.

Special Relativity describe how time and space are affected by motion at a constant velocity (especially very fast velocities)describes how mass and energy are inter related. whereas General Relativity states the  geometric theory of gravitation developed by Albert Einstein, incorporated and extended  the theory of special relativity to accelerated frames of reference and introducing the principle that gravitational and inertial forces are equivalentspace time are part of the same wholeathe speed of light is the same for all observers regardless the motion of the source or observerreference frame is a  perspective from which the position and motion of a system can be described

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What make race condition bad? name and briefly desribe two distince factors needed for a race

Answers

when two computer program processes, or threads, attempt to access the same resource at the same time and cause problems in the system and it makes race condition bad.

Which of the following conditions can result in a race condition?

When race conditions develop. When two threads access a shared variable at the same time, a race condition occurs. The first thread reads the variable, and the second thread reads the variable's value. A race condition is an undesirable situation that occurs when a device or system attempts to perform two or more operations at the same time, but the operations must be performed in the correct sequence due to the nature of the device or system.

A race condition is a program condition in which the behavior is dependent on the relative timing or interleaving of multiple threads or processes. One or more of the possible outcomes may be harmful, resulting in a bug. This is referred to as nondeterministic behavior.

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I already did the first slide but its there to just give you an idea

Answers

Answer:ok

Explanation:ok

what is the distance fallen for a ball in free fall 1 s after being dropped from a rest position? what is the distance for a 5- s drop?

Answers

The distance fallen for a ball in free fall 1s from a rest positon. Hence it falls 5m in 1s and 125m in 5s.

Initial velocity (u) = 0

Gravitational acceleration (g) (g) = 10 m/s2

Using equation of motion,

S=ut+1/2 at2

for t=1s, a=g , u=0

s=0×t + 1/2g ×1

s= 1/2 × 10

s= 5 m

t=5s,

s=0×t + 1/2g ×5×5

s= 1/2 × 10 × 25

s= 5 × 25

s= 125 m

What is a simple definition of distance?

The distance between two points, objects, lines, etc. Remoteness is the quality of being physically separated from another thing or person.

a line is drawn in the universe.

To walk seven miles in one hour would be too time-consuming.

a big area:

A wide body of water encircled the ship.

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As officer konstantin explains, when driving at 60 mph, in four seconds, you've traveled?

Answers

when driving at 60 mph, in four seconds, you've travelled 107.29 m

What is speed?

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

How to convert 60 mph to m/s

We'll begin by converting 60 mph to m/s. This can be o btained as follow:

1 mph = 0.44704 m/s

Therefore,

60 mph = (60 mph × 0.44704 m/s) / 1 mph

60 mph = 26.8224 m/s

How to determine the distance

The distance travelled can be obtained as follow:

Time = 4 sSpeed = 26.8224 m/sDistance =?

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 26.8224 × 4

Distance = 107.29 m

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The bending of light as it moves from one medium to another with differing indices of refraction is due to a change in what property of the light? group of answer choices

Answers

Refraction is the result of a wave's direction changing as it travels from one medium to another due to a change in speed. When light travels through a fast medium and into a slow medium, the light beam is refracted, which causes it to bend in the direction of the boundary between the two media.

What is Refraction ?

When light travels through a fast medium and into a slow medium, the light beam is refracted, which causes it to bend in the direction of the boundary between the two media.

The term "refraction" refers to the way light bends as it travels through transparent materials (it also occurs with sound, water, and other waves). Because of this bending brought on by refraction, we are able to make lenses, magnifying glasses, prisms, and rainbows.

Refraction occurs when light enters a medium from another and experiences a change in speed. Light bends toward the normal when it transitions from air to water due to the decrease in speed.

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Point a is located 0.197 m away from a charge of - 3.52 x 10-9 c. point b is located 0.506 m away from the charge. what is the electric potential difference vb - va between these two points?

Answers

The correct answer is -98.2V.

The gravitational potential energy and the electrostatic potential energy are practically identical. In relation to the gravitational potential energy notion, we explore the electric potential energy formula. An electric charge will store the external work done on it in the form of electric potential energy or electrostatic potential energy when it is exposed to an external electric field. As a result, the external work performed by an agent in getting a charge or system of charges from infinity to the desired location without accelerating the charge is defined as the electric potential energy.

The electric potential at A due to the charge

V_A= 1/4πε_0 Q/r_A = - 9×10^9× - 3.52 x 10-9 /0.197=-160.8V

Electric potential at B due to the charge

V_B=1/4πε_0 Q/r_B= - 9×10^9× - 3.52 x 10-9 /0.506=-62.6V

V_B-V_A=-160.8-(-62.6)

=-98.2V

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A moving average can be used to smooth:__________
1) cyclical variation
2) seasonal variation
3) irregular variation
4) all responses are correct

Answers

A moving average can be used to smooth:3) irregular variation

What is irregular variation ?

Irregular with the aid of its call says “wrong”. these are those variations which aren't predictable. They do now not observe some pattern which may be expected. It totally follows in opposition to the rules. It includes the pandemic, endemic, other sicknesses spread, environmental disasters, and irregular variation. greater particularly, floods, earthquakes, draughts, and many others comes under the umbrella of irregular variations.

In time series, we do no longer make any estimation of parameters or speculation checking out. The simplest purpose is to find the versions/trends in facts. this alteration may be everyday or irregular. ordinary variations includes linear, seasonal, and cyclic variations. whereas, abnormal variations are all rest of the variations that aren't blanketed with the aid of the everyday versions. those irregular variations are never predictable. We don't have any facts about the length of this alteration, whether it's miles short time period or long time variation. moreover, irregular variations are stationary variations.

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