Automotive engineers refer to the time rate of change of acceleration as the “jerk.” If an object moves in one dimension such that its jerk J is constant,
(a) Determine expressions for its acceleration ax (t), velocity vx (t), and position x (t), given that its initial acceleration, velocity, and position are axi , vxi , and xi , respectively.
(b) Show that ax2 = axi2 + 2J (vx – vxi).