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A rock is dropped off a 200 foot cliff. The function h(t) models the height of the rock in feet as it falls to the ground below the cliff. t represents the time in seconds after the rock was dropped. h(t) = 200 − 16t2
1.
(a) Find the average velocity of the rock over the time interval, [1, 3] seconds. Show how this value is calculated and include correct units in your answer.
(b) Draw a secant line on the graph of h(t) on page 3 whose slope corresponds to the average velocity found in part (a). label the L1 line on the graph. Use a straightedge to draw the line.
2.
(a) Find the instantaneous velocity function of the rock for any time, t. Use the 4-step process labeling each step in the process. For full credit, you must show clearly the simplified form of each step and the final answer must be stated as a function, h0(t).
(b) Using the derivative function found in part (a), find the instantaneous velocity of the rock at 1.5 seconds. Write your answer to this in a full sentence using the context of the situation to describe your answer.
From Physics, General Physics Due on: 17 Sep, 2017 08:34:00 Asked on: 11 Sep, 2017 05:41:30
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