6. Suppose an object is thrown up in the air and then it falls back down. Its height is given by the function h(t) = 20t2 (2 – t). (a) Find the velocity function. (b) At what time t >0 does the object hit the ground? (c) At what time t >0 does the object stop moving?

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6. Suppose an object is thrown up in the air and then it falls back down. Its height is given by the function
S
h(t) = 20t2 (2 – t).
(a) Find the velocity function.
(b) At what time t > 0 does the object hit the ground?
(c) At what time t > 0 does the object stop moving?
(d) Is the object moving upwards or moving downwards at t = 1? Say why.
(e) Find the acceleration function.
Transcribed Image Text:6. Suppose an object is thrown up in the air and then it falls back down. Its height is given by the function S h(t) = 20t2 (2 – t). (a) Find the velocity function. (b) At what time t > 0 does the object hit the ground? (c) At what time t > 0 does the object stop moving? (d) Is the object moving upwards or moving downwards at t = 1? Say why. (e) Find the acceleration function.
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