An electric vehicle starts from rest and accelerates at a rate of 3.6 m/s^2 in a straight line until it reaches a speed of 55 m/s. The vehicle then slows at a constant rate of 2.6 m/s^2 until it stops. (a) How much time elapses from start to stop? (b) How far does the vehicle travel from start to stop? A particle moving along the x-axis has its position described by the function x(t)=6t3+8t+5 meter where t is in s. At t = 4.0s what are the particle's (a) position, (b) velocity, and(c)acceleration