A particle moves according to a law of motion s = ((t), t 2 0, where t is measured in seconds and s in feet. (D = 13-1212 + 451 (a) Find the velocity at time t. v(1) - 312-241 + 45 (b) What is the velocity after 4 s? v(4) = -3 ft/s (c) When is the particle at rest? t = 3 s (smaller value) * = 5 s (larger value) (d) When is the particle moving in the positive direction? (Enter your answer in interval notation.) te [0,3) U (5,00) (e) Find the total distance traveled during the first 6 s. (f) Find the acceleration at time to a(t) = 61 - 24 Find the acceleration after 4 s. a(4) = 10 (9) Graph the position, velocity, and acceleration functions for the first 6 s. (g) Graph the position, velocity, and acceleration functions for the first 6 s. 60 60 40 40 20 20 -20 O O 60 40 40 20 20 -20 -20 O (h) When, for 0 S t