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A ball is thrown directly downward with an initial speed of 8.35 m/s from a height of 29.6 m is 2.59s

Speed is the time rate at which an object is moving along the path, while the velocity is the rate and direction of an object’s movement. Put the another way, speed is a scalar value, while the velocity is a vector.

The mathematical calculation for the speed is relatively straightforward, wherein the average speed of an object is calculated by dividing the distance traveled by the time it took the object to travel the distance. Velocity, on other hand, is more complicated mathematically and can be calculated in different ways, depending on what information is available about the object’s motion. In its simplest form, the average velocity is calculated by dividing change in position (Δr) by change in time (Δt)

a ball is thrown directly downward with an initial speed of 8.35 m/s from a height of 29.6 m. The equation for the height of the ball as a function of time is

y f =y i +v i -1/2g[tex]t^{2}[/tex]

0=29.6+(-8.35)-4.90[tex]t^{2}[/tex]

Solving for t,

t=[tex](+8.35± \sqrt{(-8.35)^{2}-4(-4.90(29.6)}) /2(-4.90)= (+8.35± \sqrt{69.72-580.16})/(-2.9)[/tex]

​t=2.59s

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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.

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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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

It is false to conclude that a light microscope with an objective lens numerical aperture of 0.65 is capable of allowing two objects 320 nm apart to be distinguished when using light with a wavelength of 420 nm.

Given,

Numerical aperture of lens = 0.65

Wavelength (λ) = 420 nm

Now,

0.61 × λ / numerical aperture = resolving power

Or, 0.61 × 420 / 0.65 =394.15 nanometers

Therefore, the least distance between two things that can be distinguished as two independent objects is 394.15 nm, which means two objects separated by 320 nm can not be distinguished as two separate objects with this microscope.

Hence, as a result, the statement is false.

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The impedance of the series RLC circuit which have the voltage amplitude and frequency of the source as 100 v and 500 hz, respectively, and l = 0.20 h is 686 ohms.

What is impedance?

The opposition to alternating current presented by the combined effect of resistance and reactance in a circuit is called impedance.

Given,

Voltage (V₀) = 100 v

Frequency (f) = 500 Hz

Inductance (L) = 0.20 h

Angular frequency,

ω = 2πf = 2π(500) = 1000π rad.

Since there is no capacitor and resistance present in the circuit, the impedance will solely depends on the inductance.

Inductive reactance,

[tex]X_L = (w)(L) = (1000)(3.4)(0.20) = 628 ohms[/tex]

By equation,

[tex]Z = \sqrt{R^2 + (X_L - X_C)^{2} }[/tex]

[tex]Z = \sqrt{0 + (628 + 0) ^{2} }[/tex]

Z = 628 ohms.

Hence, the impedance of the circuit is 628 ohm.

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The part of river's current moves at a 1.486 m/s speed.

the distance between two points, objects, lines, etc. Remoteness is the quality of being physically separated from another thing or person. a line drawn in the universe. To walk seven miles in one hour would be too time-consuming.

The difference between the change in distance and the change in time is used to compute the rate of change.

Rate: times the distance Time

The distance is 16.5 miles, and the time is 5.5 hours.

If we enter this into the formula above, it yields:

16.5 - 5.5 / 10.9 - 3.5 = 11/7.4 = 1.486 m/s is the rate of change.

Calculations show that the constant rate of change is 1.486 m/s.

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The magnitude of →PQ is represented symbolically as | →PQ |. The Distance Formula can be used to determine a vector's magnitude if its start and end points' coordinates are known.

The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics. Formally speaking, the size of an object is the outcome of the class of objects it belongs to being ordered (or ranked) and shown.

Magnitude in physics can be interpreted as either a quantity or a distance.

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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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width of the 90 confidence interval for true population proportion if there are 12 successes in a sample of 25 is around 0.164

We use the following formula to determine the value of the approximate breadth or margin of error:

width is about equal to z [p (1 - p) / n]

^0.5

Consequently, at a 90% confidence level, the z score can be calculated using normal distribution tables. P = likelihood of success and N = 25 samples. According to the standard distribution tables, z = 1.645 is the value of z at the 90% level. There is a 12 out of 25 chance of success, therefore

p = 12 / 25 = 0.48 As a result, the width is approximately:

width is roughly equal to 1.645 [0.48 (1 - 0.48) / 25]

^0.5

width is around 1.645. (0.0999)

width is around 0.164.

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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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The team must first take action before looking for potential answers. Improve the solution by iterating.

A team is described as a collection of individuals who collaborate to complete interdependent activities in support of a common goal or mission. A good team can be created by having open communication, patience, respect for one another, and shared, compatible goals.

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The line spectra supports the quantization of energy, because there are sharp emission lines demonstrating discrete energy levels.

When an element emits energy in the form of radiation, it produces a spectrum of colors on a photographic plate.

This spectrum can either be continuous or discrete.

In continuous spectrum the spectrum continues without any discrimination between two regions.

Also, the line spectrum consists of discrete and sharp lines, which shows the emission of radiation in a certain amount in a certain time, with a break between emission.

Thus, the line spectra supports the quantization of energy, because there are sharp emission lines demonstrating discrete energy levels.

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The magnitude of the unit is the same between the interval and ratio scales. The location of the zero point varies amongst them.

Both interval scales and ratio scales are made up of tangible, uniformly sized units like millimetres or seconds. The difference between three and four seconds, for example, is the same as the difference between four and five seconds since seconds are all the same size.

The distinction between interval and ratio scales is that the former has significant zero points while the latter does not.

The data gathered can be added, subtracted, and multiplied on an interval scale. The scale makes it possible to calculate the degree of the difference but not the ratio. A ratio scale allows for division in addition to addition, subtraction, and multiplication. In other words, you can figure out how the values compare.

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Heart attacks, heart failure, kidney disease, and overall mortality are all associated with systolic blood pressure. Aortic disease risk is increased by a high diastolic reading.

Two figures are used to calculate blood pressure: the first, systolic blood pressure, represents the force exerted on your arteries as your heart beats.

The second number, or diastolic blood pressure, measures the pressure in your arteries between heartbeats.

Systolic blood pressure, the highest reading, gauges the force the heart applies to the artery walls with each beat. The bottom reading, or diastolic blood pressure, gauges the pressure the heart places on the artery walls between beats.

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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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On holiday a family travels from meyerville 10 miles away to sprytown 70 miles away in 3 hours, their speed is 20 miles per hour.

To find speed using formula,

s = d / t

s = 70 - 10 / 3

s = 60 / 3

s = 20 miles / hours

Speed is defined as the rate of change of position; what we mean by speed is the magnitude with which an object moves, or, more scientifically, the rate at which an object changes its position is per unit time.

Speed is calculated as speed = distance / time. To figure out what the units for speed are, you must first understand the units for distance and time. Because distance is measured in metres (m) and time is measured in seconds (s), the units will be metres per second (m/s).

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The calculated value is AO=3.2sec.

The limit of average velocity as elapsed time approaches zero, or the derivative of x with respect to t: v (t) = d d t x (t), is the instantaneous velocity of an object. v (t) equals d d t x (t). Instantaneous velocity is a vector having a dimension of length per time, similar to average velocity.

In contrast to instantaneous velocity, which is determined by the slope of the tangent line, average velocity is defined as the change in position (or displacement) during the course of transit.

So, we obtain

cosθ= 5/4

= 4AO

So, we obtain AO=3.2sec.

The complete question is- Position-time graph is shown, which is a semicircle from t=2 to t=8 sec. Find time t at which the instantaneous velocity, is equal to average velocity over first t seconds.

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The charge stored in capacitor is 22.8 mC.

We need to know about capacitors to solve this problem. Capacitor is a device that stores electric charge. The charge stored in capacitor can be determined as

Q = C . V

where Q is charge, C is capacitance and V is voltage.

From the question above, we know that

C = 152 µF = 152 x 10¯⁶ F

V = 150 V

By substituting the following parameters, we can calculate the charge

Q = C . V

Q = 152 x 10¯⁶ . 150

Q = 0.0228 C

Convert to millicoulombs

Q = 0.0228 C

Q = 0.0228 x 10³ mC

Q = 22.8 mC

Hence, the charge stored in capacitor is 22.8 mC.

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Veganism is the practice of avoiding using animal products, especially in your diet, and an ideology that supports this practice that rejects treating animals as a commodity.

The end of the film includes interviews with several “elite” athletes. List at least 3 of the benefits of a vegan diet that these elite athletes say they’ve experienced.

A vegan is someone who adheres to the ideology or diet. Numerous health advantages of a vegan diet exist.

A vegan diet can be beneficial for those trying to lose weight. Consuming vegan food may also keep your heart healthy. Additionally, this diet might provide some defense against type 2 diabetes and some malignancies.

Vegan diets typically contain higher levels of fiber, antioxidants, and healthy plant chemicals. Additionally, they seem to contain higher amounts of potassium, magnesium, folate, and vitamins A, C, and E.

Since plant-based meals are bursting with phytochemicals, especially the potent antioxidants found in fruits and vegetables, eating vegan can help lower our risk for disease. Researchers discovered that compared to non-vegans, vegans had higher amounts of saturated fatty acids, a higher proportion of total omega-3 fatty acids, and antioxidant carotenoids, all of which are associated with better health.

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that water droplets are collecting on the outside of the bottle is due to Melting processes processes

There isn't a single temperature that can be regarded as the melting point of water because the melting point partly depends on pressure. However, for practical purposes, 0 °C, or 32 °F or 273.15 K, is quite close to being the melting point of pure water ice at 1 atmosphere of pressure

ce, water, and gas are all different states of the element water (vapour or gas). Ice, a solid, may melt into water when heated (a liquid). Ice forms when heat is removed from a liquid of water (a solid). We refer to the transformation of water into a solid or gas as a shift in its state of matter.

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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.

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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The correct answer is t_max=V_0/a.

Here, we must apply the motion equation v=u+at to both the first and second conditions. Next, determine the entire time that can be determined using the law of motion. The next thing is our velocity.

Dynamic and kinematic motion descriptions are the two different categories. Dynamics covers a wide range of phenomena since it takes into account the momenta, forces, and energy of the particles.

Let the time be t_max when you collide with the dragster,

speed of dragster at time t_max is at_max .

If at_max = v_0(speed of years) i.e., both have the same speed you will collide with dragster.

t_max = (v-u)/a

=(v_0 - 0)/a

=v_0/a

Hence t_max=V_0/a.

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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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The existence of a 'critical period' early in a life characterized by high susceptibility to melanoma initiation due to excessive ultraviolet (UV) radiation has been suggested by various authors based on epidemiological findings from migration studies and some case-control studies.

Objective To compare the increase in melanoma risk due to excessive UV radiation between different periods in life.

We found a very similar upward gradient of melanoma risk in exposure categories related to the frequency of sunburns during both periods in life. More than five sunburns doubled the melanoma risk, irrespective of their timing in life.

The hazardous impact of sunburns seems to persist lifelong and thus activities concerned with melanoma prevention should be directed to the entire population rather than being focused only on younger age groups.

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Answer:

220km

Explanation:

As per second law of thermodynamics, The amount of energy that must be lost to the environment for the process to take place is known as nature's heat tax.

What is second law of thermodynamics?

The second law of thermodynamics is a physical principle founded on the knowledge of how heat and energy are transformed throughout the world. Explanation of the law is that, without energy input to change the direction of heat flow, heat always goes "downhill," or from hotter to colder objects. The phrase "not all heat energy can be turned into work in a cyclic process" is another definition.

Every energy exchange is subject to the inevitable energy reduction known as "nature's heat tax." The majority of energy transactions lose some energy to the environment, making each transaction only marginally efficient. As a result, the energy is used most effectively when there are fewest number of transactions.

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Tyler wants to learn about the types of insects in the soil near his house. He could collect a large amount of data for a low cost.

Descriptive investigation, comparative investigation, and experimental investigation are the three types of investigations that scientists use to research and create explanations for events in nature.

Providing descriptions is the aim of descriptive research. It should describe phenomena in a factual, precise, and organized manner without attempting to infer their causes. It does not provide an explanation for the how, when, or reasons why a specific phenomenon occurred.

In various situations, scientists employ a variety of investigational techniques. These techniques include fair testing, identifying and classifying, modeling, pattern seeking, and researching (in no particular order). According to research, fair testing dominates science instruction.

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There are 6 expected signals in the broadband-decoupled 13c nmr spectrum of dibp.

The resonances due to 13C nuclei are split by neighbouring  H atoms. These splitting would complicate the appearance of the spectra making them harder to interpret. Therefore, in a "normal" 13C spectra, these couplings are "removed" by applying a continuous second radio frequency signal of a broad frequency range that excites all the H nuclei and cancels out the coupling patterns due to the interaction of the H with the 13C. This means that each C is seen as a single line. Of course information is being lost by doing this, such as how many H are attached to each C.

In off-resonance decoupling the one bond C-H couplings are retained so the signal for a particular C is given by the number of attached H in accord with n+1 rule. So, for example, a -CH3 shows as a quartet and a -CH2- as a triplet.

13C chemical shifts

The most significant factors affecting the chemical shifts are:

Electronegativity of the groups attached to the C

Hybridization of C

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Yes, an object can have zero velocity and non-zero acceleration at the same time.

Let's take an example of a tennis ball. If we throw the tennis ball vertically upward, the ball will have zero velocity at the highest point. At that point, the gravity is still acting downwards on the tennis ball. At this point, the ball has zero velocity and accelerates downward with gravitational acceleration = 9.8m/s.

Another example is oscillatory motion. In oscillatory motion, the acceleration is always opposite to the velocity. When the velocity becomes zero at the extreme position the body has non-zero acceleration.

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