A particle moves along the x-axis. It is initially at the position , moving with velocity and acceleration . Suppose it moves like a particle under constant acceleration for . Find (a) its position and (b) its velocity at the end of this time interval. Next, assume it moves like a particle in simple harmonic motion for and x 5 0 is its equilibrium position. Find (c) its position and (d) its velocity at the end of this time interval.
