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8 A bullet is fired from the top of a cliff overlooking the sea. The path of the bullet may be modelled by the equation $y=-0.0147 x^{2}+2 x+96(x \geq 0)$ 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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