A bullet is fired from the top of a cliff overlooking the sea. The path of the bullet may be modelled by the equation y = -0.0147x² + 2x+96 (x20) where x is the horizontal distance from the foot of the cliff and y is the vertical distance from the foot of the cliff. a State the height of the cliff. b Find the maximum height reached by the bullet. c Find the distance the bullet lies from the foot of the cliff, when it hits the water.

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