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Velocity If a rock is dropped from a 144-ft building, its

Calculus with Applications | 10th Edition | ISBN: 9780321749000 | Authors: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey ISBN: 9780321749000 67

Solution for problem 72A Chapter 4.1

Calculus with Applications | 10th Edition

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Calculus with Applications | 10th Edition | ISBN: 9780321749000 | Authors: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Calculus with Applications | 10th Edition

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Problem 72A

Problem 72A

Velocity If a rock is dropped from a 144-ft building, its position (in feet above the ground) is given by s(t) = −16t2 + 144, where t is the time in seconds since it was dropped.

a. What is its velocity 1 second after being dropped? 2 seconds after being dropped?

b. When will it hit the ground?

c. What is its velocity upon impact?

Step-by-Step Solution:

Solution:

Step 1 of 2:

In this problem, we need to find the velocity 1 second after being dropped and 2 seconds after being dropped.

Step 2 of 2

Chapter 4.1, Problem 72A is Solved
Textbook: Calculus with Applications
Edition: 10
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
ISBN: 9780321749000

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Velocity If a rock is dropped from a 144-ft building, its