Consider a body in straight line motion moving horizontally with position measured in feet and time measured in seconds where t 0 whose position equation is given by: t4 11 s(t) + 4 23-1222 You must justify your answer using Calculus for all parts in this question. a) Compute the velocity of the particle at any time t. b) Compute the acceleration of the particle at any time t. c) Is the particle speeding up or slowing down at t = 2 seconds? d) When does the particle stop? e) Does the particle start from rest? Explain how you know. f) When is the particle moving in the negative/left direction?