A Saturn V rocket has a mass of 2.75 x 10^6 kg and exerts a force of 33 x 10^6 N on the gases it expels. Determine (a) the initial vertical acceleration of the rocket, (b) its velocity after 8 seconds, and (c) how long it takes to reach an altitude of 9500m. (Ignore the mass of gas expelled and assume g remains constant.)
Note 1. The reaction to the downward force, Fgas, exerted on the gas, is an upward force on the rocket.
Note 2. Thus the two forces on the rocket, are: the upward force Fgas and a downward force of gravity, M g.
Part a. Step 1.
This solution is found using Newton's second law, Fnet = Ma.