A particle moves according to a law of motion , , where is measured in seconds and in feet. Find the velocity at time . What is the velocity after second? When is the particle at rest? When is the particle moving in the positive direction? Find the total distance traveled during the first seconds. Draw a diagram like Figure 2 to illustrate the motion of the particle. Find the acceleration at time and after second. Graph Icon Graph the position, velocity, and acceleration functions for . When is the particle speeding up? When is it slowing down? f(t)= t2e-t
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