Chapter 2.7, Problem 8E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after *t* seconds is

(a) What is the maximum height reached by the ball?

(b) What is the velocity of the ball when it is 96 ft above the ground on its way up? On its way down?

To determine

**Part (a)**

**To find:** Maximum height reached by the ball

Explanation

**1) Concept**: Velocity is rate of change of position with respect to time t.

**2) Formula:**

**3) Given:** A ball is thrown vertically upward with the velocity of

**4) Calculation:**

The ball reaches the maximum height when its velocity becomes 0

Therefore,

When v = 0,

To determine

**Part (b)**

**To find:** Velocity of the ball when it is 96 feet above the ground on its way up and on its way down

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