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.
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.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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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