A soccer ball is kicked downward from the top of a cliff with a speed of 4ft/s. You notice that it took 5 seconds for the ball to hit the ground. a) Assuming that its acceleration is given by a(t) = -32ft/s2, use integration/antiderivatives to find functions for its velocity and position (height) as functions of time. b) Find the height of the cliff.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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A soccer ball is kicked downward from the top of a cliff with a speed of 4ft/s. You
notice that it took 5 seconds for the ball to hit the ground.
a) Assuming that its acceleration is given by a(t) = -32ft/s2, use integration/antiderivatives
to find functions for its velocity and position (height) as functions of time.
b) Find the height of the cliff.
Transcribed Image Text:A soccer ball is kicked downward from the top of a cliff with a speed of 4ft/s. You notice that it took 5 seconds for the ball to hit the ground. a) Assuming that its acceleration is given by a(t) = -32ft/s2, use integration/antiderivatives to find functions for its velocity and position (height) as functions of time. b) Find the height of the cliff.
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