ds is a(t) = 60t, at which time the fuel is exhausted ar Fourteen seconds later, the rocket's parachute opens, and y to -8 ft/s in 5 s. The rocket then descend with constan

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Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
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Exercise 2.
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 -8 ft/s in 5 s. The rocket then descend with constant velocity to the
ground.
%3D
a) Determine the position function s and the velocity function v (for all times t).
b) At what time does the rocket reach its maximum height, and what is that height?
c) At what time does the rocket land?
Transcribed Image Text:Exercise 2. 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 -8 ft/s in 5 s. The rocket then descend with constant velocity to the ground. %3D a) Determine the position function s and the velocity function v (for all times t). b) At what time does the rocket reach its maximum height, and what is that height? c) At what time does the rocket land?
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