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A rocket is fired from rest from the ground (y = 0) at time t1 = 0 s. As the rocket is burning its fuel, it moves vertically upward with a constant acceleration of 4.25 m/s2 . At t2 = 7.50 s, all the fuel has been used up and the rocket is in free fall. Air resistance can be neglected up until t4 = 15.0 s when the rocket deploys a parachute. At this time the rocket immediately reaches its terminal velocity which means that its acceleration becomes 0 m/s2 .

a) Find the maximum height of the rocket with respect to the ground.

b) How long after being launched does the rocket return to the ground?

c) Sketch an ay v. t plot for the motion of the rocket. Be sure to label the accelerations of the rocket at t1=0 s, t2=7.50 s, t3 (when the rocket is at its highest point), t4= 15.0 s, and t5 (when the rocket returns to the ground).

d)Sketch a vy v. t plot for the motion of the rocket. Be sure to label the velocities of the rocket at t1 = 0 s, t2 = 7.50 s, t3 (when the rocket is at its highest point), t4 = 15.0 s, and t5 (when the rocket returns to the ground).

e)Sketch a y v. t plot for the motion of the rocket. Be sure to label the positions of the rocket at t1 = 0 s, t2 = 7.50 s, t3 (when the rocket is at its highest point), t4 = 15.0 s, and t5 (when the rocket returns to the ground)

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