A particle moves according to a law of motion s=! f !t", t . 0 where t is measured in

Chapter 3, Problem 3.7.1

(choose chapter or problem)

A particle moves according to a law of motion s=! f !t", t . 0 where t is measured in seconds and s in feet. (a) Find the velocity at time .(b) What is the velocity after 3 s?(c) When is the particle at rest?(d) When is the particle moving in the positive direction?(e) Find the total distance traveled during the first 8 s.(f) Draw a diagram like Figure 2 to illustrate the motion of theparticle.(g) Find the acceleration at time and after 3 s.; (h) Graph the position, velocity, and acceleration functions for.(i) When is the particle speeding up? When is it slowing down?

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