A particle moves according to a law of motion , , where is measured in seconds and in

Chapter 3, Problem 1

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A particle moves according to a law of motion , , where is measured in seconds and 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 the particle.

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