A student throws a ball vertically upward from the roof of a school, which is 25 m high. The motion of the ball can be represented by the equation () = 4.9 2 + 17 + 25, 0, where t is the time, the ball has been in the air, in seconds, and d is the height of the ball above the ground, in metres. a. Sketch the function d(t) on the grid. b. Determine the average rate of change of the ball from t = 2 to t = 4 from the equation. c. Write a difference quotient in terms of h to estimate the instantaneous rate of change of the ball's height at = 3 d. Evaluate the limit of your difference quotient in part c as 0. e. Interpret the meaning of your answers in part c and d.