In question 8 from “Problems 2”, you calculated that an archery arrow shot with an initial velocity of 45 m/s at an angle of 10 degrees would travel 70.67 m (2 d.p.) before hitting a target at the same height from which it was released. If the archery target was moved further away from the archer, discuss some kinematic-based strategies that the archer could adopt to ensure that the arrow reaches the target. Ensure that the variables discussed are relevant to your answer. Assume air resistance is negligible.

Answers

Answer 1

The distance traveled by the arrow and horizontal velocity are directly proportional, thus when the distance increases, an increase in initial velocity will allow the arrow to hit the target.

Time of motion of the projectile

If the horizontal distance the projectile would travel before hitting the target is 70.67 m, the time of motion of the projectile is calculated as;

X = Vx(t)

t = X/Vx

t = X/Vcosθ

t = (70.67) / (45 x cos10)

t = 1.6 s

When the archery target is moved further away from the archer, the archer needs increase the initial velocity of the arrow assuming the angle of projection is constant.

Since the distance and horizontal velocity are directly proportional to each other, thus when the distance increases, an increase in initial velocity will allow the arrow to hit the target.

Learn more about velocity of projectile here: https://brainly.com/question/12870645


Related Questions

Which of the following particles is similar to a He nucleus?
alpha
beta
gamma
neutrino

Answers

Answer:

Alpha

I hope this helps you

:)

I think it would be an Alpha Particle.

1. What is the distance covered by a T-Rex that goes from 0 m/s to 9 m/s in 6.78 seconds? (10
points)

Answers

With the use of first and third equation of motion, the distance covered by a T-Rex is 30.51 m

Linear Motion

When a body is in linear motion, the body is moving in a straight line. some of the parameters to consider are:

Distance coveredSpeedVelocityAccelerationE.T.C

Given that a T-Rex move from 0 m/s to 9 m/s in 6.78 seconds, the distance covered can be found by calculating the acceleration.

Let us use equation 1

V = U + at

9 = 0 + 6.78a

a = 9 / 6.78

a = 1.33 m/[tex]s^{2}[/tex]

Now let us use equation 3

[tex]v^{2}[/tex] = [tex]u^{2}[/tex] + 2as

[tex]9^{2}[/tex] = 2 x 1.33 x S

81 = 2.655S

S = 81/2.655

S = 30.51 m

Therefore, the distance covered by a T-Rex is 30.51 m.

Learn more about Linear Motion here: https://brainly.com/question/12721831

A quantity of 1.922 g of methanol (CH3OH) was burned in a constant-volume calorimeter. Consequently,
the temperature of the water rose by 4.20 ºC. If the heat capacity of the bomb plus water was 10.4 kJ/ºC,
calculate the molar heat of combustion of methanol.

Answers

Mass of methanol = 1.922g; Change in temperature = 5.14° C; Heat capacity of the bomb calorimeter + water = 8.69kJ/°C. Number of moles.

how r u

________________.

Answers

I’m okay I just need help with math, how are you

A circular ferris wheel that revolves at a constant rate once every 30 seconds. The
radius of the ferris wheel is 10 m. What is the normal force of the ferris wheel on a 10
kg toddler at the very bottom of the ferris wheel?

Answers

The normal force of the ferris wheel on a 10kg toddler at the very bottom of the ferris wheel is 102.41 N.

Centripetal force of the Ferris wheel

The normal force of the ferris wheel on a 10kg toddler at the very bottom of the ferris wheel is calculated as follows;

Fn = Fc + mg

Fn = mω²r + mg

where;

ω is the angular speed = 1 rev/30 s = 2π/30 s = 0.21 rad/s

Fn = 10(0.21²) 10  + 10(9.8)

Fn = 102.41 N

Thus, the normal force of the ferris wheel on a 10kg toddler at the very bottom of the ferris wheel is 102.41 N.

Learn more about force at the bottom of circular path here: https://brainly.com/question/14272266

How do the displacement, velocity, and acceleration of a runner change as he races from the starting
line toward the finish line along a straight path?

Answers

Answer:

maybe line toward the finish

Explanation:that question is confusing

Velocity is the pace at which your displacement is shifting; it describes how quickly and in which direction you are travelling. And acceleration, which is measured in meters per second, is the rate at which your velocity is changing (or meters per second squared).

What factor that affect the acceleration and velocity?

Net force and mass are the two primary factors that impact how quickly an item accelerates. For instance, mass has an inverse relationship with acceleration while net force has a direct relationship.

The acceleration is also influenced by other elements like friction, air or fluid resistance, and pressure.

According to the second law, the mass of the item and the net force acting on it both impact how quickly an object accelerates.

Therefore, an object's acceleration is directly proportional to the net force applied on it and inversely proportional to its mass.

Learn more about acceleration and velocity here:

https://brainly.com/question/7642897

#SPJ2

Select the correct answer. Based on the law of conservation of energy, which statement is correct? O A. Energy is always being added to all parts of the Universe. O B. Energy is often destroyed in some parts of the Universe. O C. Energy in a closed system cannot change forms. O D. Energy in an isolated system remains constant.

Answers

Answer:

d. energy in an isolated system remains constant.

Explanation:

energy can neither be replaced or destroyed

Define the following terms.

1. plate boundaries
2. seismic
3. seismic waves
4. body waves
5. surface waves
6. tectonic quakes
7. volcanic quakes
8. focus of earthquake
9. epicenter
10. fault

Answers

Answer:

I can only define a few of them, hope you don't mind.

Seismic- It means connected with or caused by earthquakes

Epicenter- It means the point on the earth's surface where the effects of an earthquake are most felt strongly.

Fault- A place where there is a break that is longer than usual in the layers of rock in the earth's crust.

Tectonic waves- Waves connected with the structure of the earth's surface.

Plate boundaries- The boundaries that differentiates the large sheets of rock (called PLATES) that form the earth's surface. Plate tectonics is the movement of the large sheets of rocks that form the earth's surface

[tex] \: \: \: \: \: \: \: \: \: [/tex]

An unbalanced force acting on an object will cause it

A. increase in mass
B. decrease in mass
C. accelerate
D. remain at rest

Answers

C. accelerate

when an unbalanced force acts on an object the speed or motion changes

If interstellar gas has a density of 1 atom/cm3, how big a volume of material must be used to make a star with the mass of the Sun

Answers

The volume of the material that must be used to make a star with the mass of the sun is 1.2×10⁵¹ m³.

What is volume?

Volume is the amount of space occupied by an object or a plane figure.

To calculate the volume of the material that must be used to make a star with the mass of the sun, we use the formula below.

Formula:

D = m/V............ Equation 1

Where:

D = Density of the interstellar gasm = mass of the sunV = Volume of the material

Make V the subject of the equation

V = m/D........... Equation 2

From the question,

Given:

m = mass of the sun = 1.9891×10³⁰ kgD = 1 atom/cm³ = 1.66×10⁻²¹ kg/m³

Substitute these values into equation 2

V = ( 1.9891×10³⁰)/(1.66×10⁻²¹)V = 1.2×10⁵¹ m³

Hence, The volume of the material that must be used to make a star with the mass of the sun is 1.2×10⁵¹ m³.

Learn more about volume here: https://brainly.com/question/1972490

Please help solve. Image down below

Answers

Answer:

thats is so hard

Explanation:

i cant answer that

The magnetic field perpendicular to a single wire loop of diameter 10.0 cm decreases from 0.50 T to zero. The wire is made of copper and has a diameter of 2.0 mm and length 1.0 cm. How much charge moves through the wire while the field is changing?

I know how to do the calculations, but can someone please explain what is the 10cm diameter and 2mm diameter? Why is there one wire and two diameters? I understand this problem mathematically but not conceptually.

Answers

Hi there!

We can begin by using Lenz's Law:
[tex]\epsilon = -N\frac{d\Phi _B}{dt}[/tex]

N = Number of Loops

Ф = Magnetic Flux (Wb)
t = time (s)

Also, we can rewrite this as:
[tex]\epsilon = -NA\frac{dB}{dt}[/tex]

A = Area (m²)

Since the area is constant, we can take it out of the derivative.

This is a single wire loop, so N = 1.

Now, we can develop an expression for the induced emf.

We can begin by solving for the area:

[tex]A = \pi r^2 \\\\d = r/2 r = 0.05cm \\\\A = \pi (0.05^2) = 0.007854 m^2[/tex]

We can also express dB/dt as:
[tex]\frac{dB}{dt} = \frac{\Delta B}{t} = \frac{0-0.5}{t} = \frac{-0.5}{t}[/tex]

Now, we can create an equation.

[tex]\epsilon = -(1)(0.007854)\frac{-0.5}{t} = \frac{0.003927}{t}[/tex]

To solve the system, we must now develop an expression for current given an emf and resistance.

Begin by calculating the resistance of the copper wire:
[tex]R = \frac{\rho L}{A}[/tex]

ρ = Resistivity of copper (1.72 * 10⁻⁸ Ωm)
L = Length of wire (0.01 m)

A = cross section area (m²)

Solve:
[tex]R = \frac{(1.72*10^{-8})(0.01)}{\pi (0.001^2)} = 5.475 * 10^{-5} \Omega m[/tex]

Now, we can use the following relation (Ohm's Law):

[tex]\epsilon = iR\\\\\epsilon = \frac{Q}{t}R[/tex]

*Since current is equivalent to Q/t.

Plug in the value of R and set the two equations equal to each other.

[tex]\frac{Q}{t}(5.475 * 10^{-5}) = \frac{0.003927}{t}[/tex]

Cancel out 't'.

[tex]Q (5.475 * 10^{-5}) = 0.003927 \\\\Q = \frac{0.003927}{5.475*10^{-5}} = \boxed{71.73 C}[/tex]

A 53 g ice cube at −30◦C is dropped into a container of water at 0◦C. How much water freezes onto the ice? The specific heat of ice is 0.5 cal/g · ◦ C and its heat of fusion of is 80 cal/g. Answer in units of g.

Answers

For A 53 g ice cube at −30◦C is dropped into a container of water at 0◦C, the amount of water that freezes onto the ice?  is mathematically given as

x = 9.93 g

What is the amount of water that freezes onto the ice?

Where

Energy received = energy given out

Generally, the amount of water is mathematically given as

(53)(0.5)(30) = (80)(x)

Therefore

x = (49)(0.5)(16)/(80)

x = 9.93 g

In conclusion, the mass of water

x = 9.93 g

Read more about  mass

https://brainly.com/question/15959704

A ballplayer catches the ball 4 seconds after throwing it straight up in the air. What speed did he throw it and how high did it go?

Answers

Answer:

Speed of the ball when it was thrown = 16.67 m/s

Height reached by the ball = 14.16 s

Explanation:

Given time in the ball comes to the same height from where the ball was thrown is 3.4 s.

Let us assume that the ball was thrown with a speed of u in the upward direction. Since only gravitational force acts on the particle in the downward direction, it has a constant acceleration in the downward direction.

We also know that a particle has the same magnitude of velocity when it is under a free fall at a fixed height but direction is opposite i.e., initially in the upward direction and finally in the downward direction.

https://tex.z-dn.net/?f=%5Ctherefore%20%5Cdfrac%7B-u-u%7D%7B3.4%7D%3D%20-9.8%5C%5C%5CRightarrow%20%5Cdfrac%7B2u%7D%7B3.4%7D%3D%209.8%5C%5C%5CRightarrow%202u%20%3D%209.8%5Ctimes%203.4%5C%5C%5CRightarrow%20u%20%3D%20%5Cdfrac%7B9.8%5Ctimes%203.4%7D%7B2%7D%5C%5C%5CRightarrow%20u%20%3D%2016.67%5C%20m%2Fs

Hence, the particle was thrown with a speed of 16.67 m/s.

Now, we also note that the particle has zero velocity at its maximum height.

So, from the initial position to the maximum height reached by the particle, we have

https://tex.z-dn.net/?f=0%5E2%20%3D%20u%5E2%2B2as%5C%5C%5CRightarrow%20s%20%3D%20%5Cdfrac%7Bv%5E2-u%5E2%7D%7B2a%7D%5C%5C%5CRightarrow%20s%20%3D%20%5Cdfrac%7B0%5E2-16.67%5E2%7D%7B2(-9.8)%7D%5C%5C%5CRightarrow%20s%20%3D14.16%5C%20m

Hence, the maximum height reached by the ball is 14.16 m.

How do human population growth trends differ between developed nations and developing nations?

Answers

Answer:

Replacement-Level Fertility

Another important population characteristic that differ btw develop nation and developing nations is relates to births is replacement-level fertility. Replacement-level fertility is the fertility rate that will result in the replacement of the parents in the population. Again, in an ideal world, the human replacement-level fertility rate would be exactly two. This would mean that each couple would produce two offspring that would replace them in the population. If this occurred, then the human population would stay at a stable rate

Two identical spheres, A and B, carry charges of
+6 microcoulombs and -2 microcoulombs,
respectively. If these spheres touch, what will be
the resulting charge on sphere A?

Answers

The resulting charge in sphere A from the two given different charges is determined as +2 μC.

Resulting of the two speheres

The resulting charge of the two spheres is determined by suming the two individual charges together as shown below;

Resulting charge = +6 μC - 2 μC

Resulting charge = +4 μC

Charge in sphere A

The resulting charge will be distributed uniformly between the two spheres and charge in sphere A and B will be equal.

Charge in sphere A = charge in sphere B = ¹/₂ x +4 μC = + 2 μC

Thus, the resulting charge in sphere A from the two given different charges is determined as +2 μC.

Learn more about resulting charges here: https://brainly.com/question/26066730

a 1. You found that the MCB was tied with a thread and the thread was fixed with a nail on the wall in your friend's house. i. Is it good idea to do this? ii. What could be the possible hazard of this? iii. What should have done to keep the circuit safe?​

Answers

The miniature circuit breaker should rather be fastned to a wall using nails and other neccessary tools.

What is a miniature circuit breaker?

A miniature circuit breaker is a circuit breaker that is used in homes as a means of guarding against damage to appliances due to a very high current.

This miniature circuit breaker is also harzardous in the sense that it could lead to an electrical fault related fire outbreak especially when it is being blown freely by wind as you tie it with a thread. Doing this a very bad idea because of the risk of a fire hazard.

The miniature circuit breaker should rather be fastned to a wall using nails and other neccessary tools.

Learn more about miniature circuit breaker: https://brainly.com/question/1298425

9. aDefine refraction of light. Draw the ray diagram when an object is placed at C in a concave mirror Write any two natures of that image​

Answers

Answer:

the process of bending of light when travling throw different mediume is called refraction of light.

You see a car that appears very small, so you assume that it must be far from you. You are using the monocular cue of

Answers

The monocular cue of relative size

The resistance of a 60.-watt lightbulb operated at
120 volts is approximately

Answers

Answer:

The resistance of a 60 watt light bulb designed to operate at 120 volts is 240 Ω.

Explanation:

The force of a hammer drives a nail into wood. This is an example of?
A. An unbalanced force.
B. Gravitational force.
C. Friction.
D. Balanced forces.

Answers

Answer:

A. An unbalanced force.

Explanation:

There needs to be a net force in order for the nail to be driven into presumably the wall. Without the net force then the hammer and nail wouldn't move.

Two bodies of specific heats S1 and S2 having the same heat capacities are combined to form a single composite body. What is the specific heat of the composite body?​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Heat capacity of body 1 :

[tex]\qquad \sf  \dashrightarrow \:m_1s_1[/tex]

Heat capacity of body 2 :

[tex]\qquad \sf  \dashrightarrow \:m_2s_2[/tex]

it's given that, the the head capacities of both the objects are equal. I.e

[tex]\qquad \sf  \dashrightarrow \:m_1s_1 = m_2s_2[/tex]

[tex]\qquad \sf  \dashrightarrow \:m_1 = \dfrac{m_2s_2}{s_1} [/tex]

Now, consider specific heat of composite body be s'

According to given relation :

[tex]\qquad \sf  \dashrightarrow \:(m_1 + m_2) s' = m_1s_1 + m_2s_2[/tex]

[tex]\qquad \sf  \dashrightarrow \:s' = \dfrac{ m_1s_1 + m_2s_2}{m_1 + m_2}[/tex]

[tex]\qquad \sf  \dashrightarrow \:s' = \dfrac{ m_2s_2+ m_2s_2}{ \frac{m_2s_2}{s_1} + m_2 }[/tex]

[ since, [tex] m_2s_2 = m_1s_1 [/tex] ]

[tex]\qquad \sf  \dashrightarrow \:s' = \dfrac{ 2m_2s_2}{ m_2(\frac{s_2}{s_1} + 1)}[/tex]

[tex]\qquad \sf  \dashrightarrow \:s' = \dfrac{ 2 \cancel{m_2}s_2}{ \cancel{m_2}(\frac{s_2}{s_1} + 1)}[/tex]

[tex]\qquad \sf  \dashrightarrow \:s' = \dfrac{ 2 s_2}{ (\frac{s_2 + s_1}{s_1} )}[/tex]

[tex]\qquad \sf  \dashrightarrow \: s' = \dfrac{2s_1s_2}{s_1 + s_2} [/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Explain the differences between horticulture and agriculture.

Answers

Hello There

[tex] \tt{Difference \: Between \: \underline\red {Horticulture} \: And \: \underline\green{Agriculture}}[/tex]

[tex] \text{\underline\red {Horticulture}}[/tex]

The Cultivation of Fruits, Vegetables and Flowers for domestic and international markets are called Horticulture.

[tex] \text{\underline\green{Agriculture}}[/tex]

It is science, art and occupation of cultivating the soil, producing crops and livestock. It is systematic and controlled use of living organisms and the environment to improve the human condition.

Hope This Helps

As a conservation biologist for the Chesapeake Bay, you and your
colleagues have been conducting a research study that tracks the decrease
in the bald eagle population over the past few years.
What evidence can you find for the decrease in the bald eagle population?

Answers

As a conservation biologist for the Chesapeake Bay, you and your

colleagues have been conducting a research study that tracks the decrease

in the bald eagle population over the past few years.

What evidence can you find for the decrease in the bald eagle population?

What is an analogy of two different roads or rivers to compare a series and parallel circuit?

Answers

Answer:

In a series circuit, the same amount of current flows through all the components placed in it. On the other hand, in parallel circuits, the components are placed in parallel with each other due to which the circuit splits the current flow.

How fast must a proton move so that its kinetic energy is 70% of its total
energy?

I thought it would be 0.7c but that is wrong. I really don't know how to do this type of problem and my text book isn't any help.

Answers

Try this solution, all the details are in the attachment. note, the answer is marked with orange colour. If it is possible, check the provided solution in other sources.

Answer: ≈0.81c.

I WILL MARK BRAINLIEST IF YOU ANSWER THIS PHYSICS QUESTION!!!
A 21 kg child is riding a 5.9 kg bike with a velocity of 4.5 m/s to the northwest.
1. What is the momentum of the child and the bike together?
2. What is the momentum of the child?
3. What is the momentum of the bike?

Answers

Answer:

1.     121.05 kg m/s NW

2.     94.5 kg m/s NW

3.     26.55 kg m/s NW

Explanation:

Suppose a grower sprays (8.2x10^1) kg of water at 0 °C onto a fruit tree of mass 180 kg. How much heat is released by the water when it freezes?

Answers

Since there is no temperature change which drives heat flow, thus no heat will be released by the water.

Heat released by the water when it freezes

The heat released by the water when it freezes is calculated as follows;

Q = mcΔФ

where;

m is mass of waterc is specific heat capacity of waterΔФ is change in temperature = Фf - Фi

when water freezes, the temperature, Фf = 0 °C

Q = 82 x 4200 x (0 - 0)

Q = 0

Since there is no temperature change which drives heat flow, thus no heat will be released by the water.

Learn more about heat flow here: https://brainly.com/question/14437874

While cruising on the high sea at speed of v = 22 km/hr, a cargo ship suddenly encounters a problem with its propeller shaft leading to the main engine being shut down. This causes the vessel to slow down to 12 km/hr over the next 14 minutes. Assuming that its deceleration profile is following a correlation of as a = -0.85ct², where c is the acceleration constant for any time t, determine; i) The magnitude for constant c from the two boundary limits of deceleration profile given above, and ii) Plot against the timescale for same interval above, a total distance covered by the vessel as it's slowing down from 22 km/hr to 12 km/hr. Also plot the speed profile for the vessel during that 14 minutes' span.​

Answers

Answer:

how can you support to leprosy victims?

If an object accelerates from rest, with a constant acceleration of
10 m/s2, what will its velocity be after 2 s?

Answers

The velocity of the body affter 2 seconds is 20 m/s

What is acceleration?

Acceleration, a is the change of velocity with time. this is represented mathematically as

a = ( v - u ) / t

where:

u = intial velocity

v = final velocity

t =  time

Given:

a = 10 m/s2

t = 2s

u = 0  ( from rest means initial velocity is zero )

therefore

a = v / t

v = a t

v = 10 * 2

v = 20 m/s

Read more on acceleration here: https://brainly.com/question/460763

Other Questions
Since the American Academy of Pediatrics developed guidelines recommending that infants __________, the incidence of death from sudden infant death syndrome (SIDS) has decreased. Can someone do this fill in the blanks How did the pharaohs legitimize their claim to power? BCD and EFG are shown below. Which of the following statements is true? Look at picture. Which of the following would not cause habitat change? a. Building a dam on a river b. A hurricane c. Introducing new hiking trails d. None of the above Please select the best answer from the choices provided A B C D. What part of the solar system is associated with the name solis dies how do you make the perfect sandwich? (preferably heathy) Evaluate each power.a. (7)0 b. (43)0 c. 10 d. (0.5)0 explain what common forms of transportation can be used in la Repblica Dominicana, and how do such forms compare to those of the U.S.? It is important to increase your flexibility. Question 4 options:TrueFalse 1) Which of the following was a border State during the U.S. Civil War?A) ArkansasB) KentuckyOhioD) Texas Which of the following are qualifications to become governor in most states? Select all that apply. A. must be an American citizen B. must be at least 35 years of age C. must live in the state D. must have passed the state bar exam E. must have previously held a state elected office F. must be a registered voter What are some reasons for studying economics?Choose 3 answers how does bear respond to danger? What is the subsystem within long-term memory that consciously stores facts, information, and personal life experiences These are the steps that you should follow when taking a reading test. Which one is the first step? A. Decide if the text is narrative or expository. B. Read quickly if the text is expository; read carefully if it is a narrative. C. Refer to the passage in the reading if the question is detailed; infer theanswer if the passage is general. cual es el mximo comn divisor de 72, 90 y 36? What is the value of x please help this question is hard (25 POINTS!!)An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2). 1 2 3 4 5 6 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) What is the probability of rolling 2 even numbers?Enter your answer as a reduced fraction, like this: 3/14 a right triangle with a long leg (x+7) and a short leg with (x) and the hypothenuse is 13