A pumpkin is launched from the top of a 20-foot tall platform at an initial velocity of 84 feet per second. The height, h(t), of the pumpkin at time t seconds after launch can be modeled by the equation h(t)=−16t2 +84t+20.
a. Find the maximum height reached by the pumpkin.
b. How long did it take for the pumpkin to reach the maximum height?
c. When does the pumpkin reach a height of 100 feet?

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