Vertical Motion A water balloon is thrown upward from the
Chapter 11, Problem 11.3.67(choose chapter or problem)
Vertical Motion A water balloon is thrown upward from the top of an 80-foot building with a velocity of 64 feet per second. The height or displacement s (in feet) of the balloon can be modeled by the position function where t is the time in seconds from when it was thrown. (a) Find a formula for the instantaneous rate of change of the balloon. (b) Find the average rate of change of the balloon after the first three seconds of flight. Explain your results. (c) Find the time at which the balloon reaches its maximum height. Explain your method. (d) Velocity is given by the derivative of the position function. Find the velocity of the balloon as it impacts the ground. (e) Use a graphing utility to graph the model and verify your results for parts (a)(d).
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