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An arrow is shot from a height of 1.5 m toward a cliff of

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 34PE Chapter 3

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 34PE

An arrow is shot from a height of 1.5 m toward a cliff of height H . It is shot with a velocity of 30 m/s at an angle of 60º above the horizontal. It lands on the top edge of the cliff 4.0 s later. (a) What is the height of the cliff? (b) What is the maximum height reached by the arrow along its trajectory? (c) What is the arrow’s impact speed just before hitting the cliff?

Step-by-Step Solution:

Solution 34PE

We are required to calculate the height of the cliff, the maximum height reached by the arrow and the speed of the arrow before it reaches the cliff.

 

(a)

Step 1 of 5</p>

The angle projection

Velocity of projection  m/s

The height from which the arrow is shot  m

The height of the cliff

Time required to travel to the top edge of the cliff  s

The x-component of the projection velocity

The y-component of the projection velocity

Step 2 of 5</p>

Since the arrow is shot from a height of 1.5 m, hence from the kinematic equation  (negative acceleration since the arrow is shot upward),

 m

 m

Therefore, the height of the cliff is 27.02 m.

(b)

Step 3 of 5</p>

 The equation for maximum height attained by a projectile is,

m

This maximum height will be attained by the projectile when thrown from 1.5 m above the ground.

Therefore, the height of the projectile from the ground would be  m

The height of the projectile from the ground is  m

(c)

Step 4 of 5

Chapter 3, Problem 34PE is Solved
Step 5 of 5

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

Since the solution to 34PE from 3 chapter was answered, more than 4050 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 34PE from chapter: 3 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. This textbook survival guide was created for the textbook: College Physics , edition: 1. This full solution covers the following key subjects: cliff, height, arrow, shot, its. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. College Physics was written by and is associated to the ISBN: 9781938168000. The answer to “An arrow is shot from a height of 1.5 m toward a cliff of height H . It is shot with a velocity of 30 m/s at an angle of 60º above the horizontal. It lands on the top edge of the cliff 4.0 s later. (a) What is the height of the cliff? (b) What is the maximum height reached by the arrow along its trajectory? (c) What is the arrow’s impact speed just before hitting the cliff?” is broken down into a number of easy to follow steps, and 79 words.

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