A particle moves according to a law of motion 3 = f(t), t 2 0, where t is measured in seconds and s in feet. f(t) = t3 98 + 15: (a) Find the velocity at time t. v(t) = (b) What is the velocity after 4 s? W = E m (c) When is the particle at rest? t = :1 5 (smaller value) t = 5 (larger value) (d) When is the particle moving in the positive direction? (Enter your answer in interval notation.) t6 (e) Find the total distance traveled during the first 6 s, [:1 (f) Find the acceleration at time t. l a(t) = Find the acceleration after 4 s. a = i: ms?- (9) Graph the position, velocity, and acceleration functions for the rst 6 s