A ball is released 20m from someone on ground and goes up at 2 m/s.  How fast is the distance between ball and observer increasing when ball is 5 m above ground

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
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A ball is released 20m from someone on ground and goes up at 2 m/s.  How fast is the distance between ball and observer increasing when ball is 5 m above ground

Expert Solution
Step 1

Let the initial velocity of the ball be u and the time taken by the ball to reach a point 5 m above the ground be t.

Note that at the maximum height from the ground the ball final velocity v of the ball becomes zero.

Firstly, the maximum vertical distance traveled by the ball with this speed is given by the following equation.

Physics homework question answer, step 1, image 1

With this value of the initial velocity, the ball cannot reach the up to vertical distance of 5 m above the ground.

 

 

 

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