hello i need help with the following problem. please and thank you.

Work must be hand-written.

4.) A model rocket has a constant upward acceleration of 40.0% while its engine is running. The rocket is fired vertically, and the engine runs for 2.50s before it uses up the fuel. After the engine stops, the rocket is in free fall. The motion of the rocket is purely up and down. (a) Sketch the ay - t, vy - t, and y -t graphs for the rocket. (b) What is the maximum height that the rocket reaches? (c) What will be the speed of the rocket just before it hits the ground? (d) Is the total time of flight equal to twice the time the rocket takes to reach its highest point? Why or why not