t t2+1 2. [8 pts] A particle moves according to a law of motion 5(t) : ,3 2 0, where i is measured in seconds and 3 in feet. (1) Find the velocity at time t. b) What is the velocity after 3 5? c) When is the particle at rest? (1) When is the particle moving in the positive direction? 3) Find the total distance traveled during the rst 8 s. f) Find the acceleration at time t and after 3 s. 9) When is the particle speeding up? When is it slowing down