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

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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