Motion of a Ball A ball thrown straight up into the air has height s(t) = 102t − 16t0 feet after t seconds.
(a) Display the graphs of s(t) and s′(t) in the window [0, 7] by [−100, 200]. Use these graphs to answer the remaining questions.
(b) How high is the ball after 2 seconds?
(c) When, during descent, is the height 110 feet?
(d) What is the velocity after 6 seconds?
(e) When is the velocity 70 feet per second?
(f ) How fast is the ball traveling when it hits the ground?
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