Answer: 1 4 A particle moves according to a law of motion , , where is measured in

Chapter 3, Problem 2

(choose chapter or problem)

1 4 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. (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?ft 0.01t4 0.04t3ft