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Suppose a rocket ship at position x=0 begins firing its engines at time t=0, causing it...

Suppose a rocket ship at position x=0 begins firing its engines at time t=0, causing it to increase its speed with a constant acceleration a0. At t=t0, the engines are turned off. Assuming that the rocket always moves in a straight line (x-direction), find the expressions for the velocity and position of the rocket for 0<t<t0 and t>t0. Draw graphs of velocity vs. time and position vs. time.

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