A ball is projected with a velocity of 20 m/s at an angle of 35 degrees from the top of a 75-m cliff. How long does it take the ball to reach the ground?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A ball is projected with a velocity of 20 m/s at an angle of 35 degrees from the top of a 75-m cliff.

How long does it take the ball to reach the ground?

Expert Solution
Step 1

Given data:

The initial velocity of the ball is,

u = 20 m/s

The angle of projection is,

θ= 350

The height of the cliff from the ground is,

H= 75 m

Formula used:

The vertical and horizontal component of the initial velocity of the projectile is,

ux=ucosθuy=usinθ

The maximum height reached by the projectile is,

h = u2sinθg

Time of flight for the projectile is,

T = 2usinθg

The final velocity of the projectile is,

s=v+u2t

According to kinematical equations,

vf=vi +at

 

 

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