Question: A toy rocket rises vertically in such a way that t seconds after liftoff, it is h(t) = 16t 2 + 200t feet above ground.

A toy rocket rises vertically in such a way that t seconds after liftoff, it is h(t) = −16t2 + 200t feet above ground. 

a. How high is the rocket after 6 seconds?

b. What is the average velocity of the rocket over the first 6 seconds of flight (between t = 0 and t = 6)?

c. What is the (instantaneous) velocity of the rocket at liftoff (t = 0)? What is its velocity after 40 seconds?

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