A soft ball is thrown up vertically in the air at to = Os from an initial height of 15m and with an initial velocity of 10m/s. We assume that the only acceleration is due to gravity, 9.8m/s². (a) Use integration to find the maximum height that the ball reaches. (b) Sketch a position-time and velocity-time graph for the movement of the ball until it hits the ground at 0m, indicating the time when this happens.

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