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

Chapter 4, Problem 72A

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QUESTION:

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?

Questions & Answers

QUESTION:

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?

ANSWER:

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.

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