Question: A ball thrown straight up into the air has height s(t) = 102t - 16t 2 feet after t seconds. (a) Display the graphs of

A ball thrown straight up into the air has height s(t) = 102t - 16t2 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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