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 (x > 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.