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A force is applied to 1.65 kg object moving with a speed of +5.0 m/s over...

A force is applied to 1.65 kg object moving with a speed of +5.0 m/s over a time of =280 milliseconds (msec). If the magnitude of the force changes as a function of time based on the formula Ft = -4.8t^3+0.36t

a) At what time does the Force reach a maximum?

b) What is the maximum force experienced by the object?

c) What function describes the acceleration of the object as a function of time?

d) What function describes the velocity of the object as a function of time?

e) What is the velocity of the object at time t=0 and time t=280 msec

f) Use your answer from (e) to determine the Impulse (change in momentum) from time t=0 to time t=280 msec

g) Use your answer from part (f) to determine the average force applied to the object

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