Automotive engineers refer to the time rate

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).

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