Vertical Motion A Sacajawea dollar is dropped from the top
Chapter 11, Problem 11.3.68(choose chapter or problem)
Vertical Motion A Sacajawea dollar is dropped from the top of a 120-foot building. The height or displacement s (in feet) of the coin can be modeled by the position function where t is the time in seconds from when it was dropped. (a) Find a formula for the instantaneous rate of change of the coin. (b) Find the average rate of change of the coin after the first two seconds of free fall. Explain your results. (c) Velocity is given by the derivative of the position function. Find the velocity of the coin as it impacts the ground. (d) Find the time when the coins velocity is feet per second. (e) Use a graphing utility to graph the model and verify your results for parts (a)(d).
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