Question: Show your work. 1. A student throws a ball vertically upward from the roof of a school, which is 23 m high. The motion of

Show your work.

1. A student throws a ball vertically upward from the roof of a school, which is 23 m high. The motion of the ball can be represented by the equation d(t) = -4.9t2 + 18t + 23, t 2 0, where / 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. 42 a. Sketch the function d() on the grid. 36 [2A] 30 b. Determine the average rate of change of the ball from / = 2 to t = 4 from your graph. 24 [2A] 18 C . Determine the average rate of change of 12 the ball from / = 2 to t = 4 from the equation. [2A] 6 2 d. Write a simplified difference quotient in terms of h to estimate the instantaneous rate of change of the ball's height at t = 3 [4T] e. Evaluate the limit of your difference quotient in part cash - 0. [2A] f. Interpret the meaning of your answers in part c and d. [IC]

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