A ball is thrown in the air and follows the displacement function s(t) = -t? + 4t + 12 where time 't' is in seconds and the displacement above the ground in meters. Find (a) The initial height (above the ground) from which the ball is thrown? (b) At what time does the ball reach its maximum height? What is the the maximum height above the ground? (c) Determine when the ball hits the ground? Answer:
A ball is thrown in the air and follows the displacement function s(t) = -t? + 4t + 12 where time 't' is in seconds and the displacement above the ground in meters. Find (a) The initial height (above the ground) from which the ball is thrown? (b) At what time does the ball reach its maximum height? What is the the maximum height above the ground? (c) Determine when the ball hits the ground? Answer:
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Transcribed Image Text:A ball is thrown in the air and follows the
displacement function
s(t) = -t2 + 4t + 12 where time 't' is in
seconds and the displacement above the
ground in meters. Find
(a) The initial height (above the ground) from
which the ball is thrown?
(b) At what time does the ball reach its
maximum height? What is the the maximum
height above the ground?
(c) Determine when the ball hits the ground?
Answer:
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