In an experiment in physics class, a model solid-fueled rocket is fired vertically with an acceleration of 3 m/sec2 for 6 seconds. After that time, it's fuel is exhausted and it continues upwards as a free fall particle. (Take upwards to be the positive direction.)
a) What is the maximum altitude the rocket reaches?
b) What is the rocket's acceleration 7.5 seconds after launch?
c) What is the total time of flight?
d) What is the rocket's total displacment during the entire flight?