Colby participates in a rocket-launch competition in her highschool. The goal is to launch a rocket with mass m = 2.3 kg [5 lbs]to a height no less than 50-m (164 ft) above ground.

a) What is the minimum momentum of the rocket as it leaves thelaunch pad?

b) Colby figured out three possible propulsion mechanisms thatdiffer by the generated force F (“thrust”) and the time interval ∆tduring which the force acts on the rocket [“burn time”]: Force F[N] Time interval ∆t [s] Propulsion #1 161 0.41 Propulsion #2 2330.37 Propulsion #3 532 0.12 What is Colby’s best choice for thepropulsion mechanism? Explain your reasoning!

c) Colby is excited about the successful launch of her rocketbut is disappointed because the rocket is in air for only t1 = 3.1s after the launch until it reaches the highest point. ExplainColby’s disappointment and calculate the air resistance acting onthe rocket! Assume that the air resistance is constant.

d) Does Colby’s rocket meet the requirement of the contest?

e) The rocket returns to the ground at the time t2 = 6.5 smeasured from the time of the launch. Calculate the impulseimparted on the rocket during the flight form the highest back tothe ground. Find the velocity vector!] of the rocket just before itlands on the ground!