Question

# 1c. 1. 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/s^{2}. At t2 = 10.0 s, all the fuel has been used up and the rocket is in free fall, i.e. it is now acted upon by gravity with an acceleration of 10 m/s^{2}downwards. Air resistance can be neglected up until t4 = 17.5 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/s^{2}.

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 a_{y} v. t plot for the motion of the rocket. Be sure to label the accelerations of the rocket at t1=0 s, t2=10.0 s, t3 (when the rocket is at its highest point), t4= 17.5 s, and t5 (when the rocket returns to the ground).

d) Sketch a v_{y} v. t plot for the motion of the rocket. Be sure to label the velocities of the rocket at t1 = 0 s, t2 = 10.0 s, t3 (when the rocket is at its highest point), t4 = 17.5 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 = 10.0 s, t3 (when the rocket is at its highest point), t4 = 17.5 s, and t5 (when the rocket returns to the ground).

#### Top Answer

Answer a: Find the maximum height of the rocket with respect to the ground The maximum height of the rocket... View the full answer