Chapter 5.1, Problem 66E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Vertical Motion** In Exercises 65–68, use
*See Example 7*.

A ball is thrown upward with an initial velocity of 60 feet per second from an initial height of 16 feet. Express the height *s* (in feet) of the ball as a function of the time *t* (in seconds). How long will the ball be in the air?

To determine

**To calculate:** The height

Explanation

**Given Information:**

The initial velocity of the ball is

**Formula used:**

The constant rule of integration,

The simple power rule of integration,

The zero property of multiplication, if

**Calculation:**

Consider the height of the ball thrown upward in the air for time

The acceleration function due to gravity in downward direction is

Integrate both sides, use the constant rule of integration

Here,

Substitute

The initial velocity of the ball thrown upward is given as,

Substitute

Therefore, the value of constant

Substitute

Integrate both side the above velocity function, use the simple power rule of integration

Substitute

Substitute

Therefore, the value of constant

Substitute

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