Answer to Question #1985 in Calculus for Denise

Question

A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a(t) = 60t at which time the fuel is exhausted and it becomes a freely "falling" body. Fourteen seconds later, the rocket's parachute opens, and the (downward) velocity slows linearly to -18 ft/s in 5 s. The rocket then "floats" to the ground at that rate.


(b) At what time does the rocket reach its maximum height? (Give your answer correct to one decimal place.)

___________________ s

What is that height? (Give your answer correct to the nearest whole number.)
____________________ ft


(c) At what time does the rocket land? (Give your answer correct to one decimal place.)

_______________________ s