2: For this problem the heights are low enoughthat the acceleration due to gravity can be approximated as-g. (Note: even at low Earth orbit, such as the locationof the International Space Station, the acceleration due to gravityis not much smaller then g. The apparent weightlessness isdue to the space station and its occupants being in free-fall.)
A rocket is launched vertically from a launchpad on the surfaceof the Earth. The net acceleration (provided by the engines andgravity) is a1 (known) and the burn lasts fort1 seconds (known). Ignoring air resistancecalculate:
a) The speed of the rocket at the end of the burn cycle.
b) The height of the rocket when the burn stops.
The main (now empty) fuel tank detaches from the rocket. Therocket is still propelled with the same acceleration as before dueto the secondary fuel tank.
c) Calculate how long it takes for the main tank to fall back tothe ocean back on the surface of the Earth in order to be recoveredfor next use.
d) Calculate the height of the rocket at the time when the tankhits the ocean.
e) At the time the main tank hits the ocean the secondary fueltank runs out of fuel. Calculate the maximum height above thesurface of the Earth that is reached by the rocket.
