A rocket fired vertically was observed to have a constant upward acceleration of 2g during the burning of the rocket motor, which lasted for 50 seconds. Afterthe initial burn, the rocket coasts influenced only by gravity, eventually free-falling to Earth.Neglecting air resistance and variation of g with altitude,

(a) Draw a graph of v vs. t for the entire flight;

(b) Draw a graph of x vs. t for the entire flight;

(c) Calculate the maximum height attained;

(d) Calculate the the total elapsed time from the firing of the rocket to its return toEarth.