A tennis ball on Mars, where the acceleration due to gravity is 0.379g and air resistance is negligible, is hit directly upward and returns to the same level 8.5 s later.

(a) What is the initial speed of the ball?

(b) How high from its original level did the ball go?

(c) Sketch graphs of the ball's vertical position, vertical velocity, and vertical acceleration as functions of time (for t[0,10]) while it's in the Martian air. As much as possible, put all your graphs on one coordinate axis.