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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs
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Solved: You throw a ball straight up with an initial

Chapter 2, Problem 49

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QUESTION:

Problem 49PE

You throw a ball straight up with an initial velocity of 15.0 m/s. It passes a tree branch on the way up at a height of 7.00 m. How much additional time will pass before the ball passes the tree branch on the way back down?

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QUESTION:

Problem 49PE

You throw a ball straight up with an initial velocity of 15.0 m/s. It passes a tree branch on the way up at a height of 7.00 m. How much additional time will pass before the ball passes the tree branch on the way back down?

ANSWER:

Solution 49PE

We need to calculate additional time before the ball passes the tree branch on its way back down. We need to calculate two time values here. First, the time required by the ball to reach the maximum height and then the time required by the ball to reach the tree branch. Once we have calculated both, we can calculate the additional time.

Step 1 of 3

Let us have a look at the figure below to understand the situation.

 

The initial velocity of the ball m/s

At the maximum height, the speed of the ball is zero as it momentarily stops.

So, final velocity at the maximum height

Therefore,

s

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