A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t^2e^-t a. Find the velocity at time t. b. What is the velocity after 1 second? 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 6 seconds.
