Question: can someone plz help with solving this. i was able to achieve the position and velocity functions but am not sure where to ho from

can someone plz help with solving this. i was able to achieve the position and velocity functions but am not sure where to ho from there t

A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds isa(t)=96t

at which time the fuel is exhausted and it becomes a freely "falling" body.19 seconds later, the rocket's parachute opens, and the (downward) velocity slows linearly to-16ft/s

in5s. The rocket then "floats" to the ground at that rate.

At what time does the rocket reach its maximum height? and What is that height?

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