The path of the ball for many golf shots can be modeled by a quadratic function. The path of a golf ball hit at an angle of about 10 degrees to the horizontal can be modeled by the function,
h=-0.002d^2 + 0.4d, where h is the height of the ball, in meters, and d is the horizontal distance
the ball travels, in meters, until it first hits the ground.
a) What is the maximum height reached by the ball?
b) What is the horizontal distance of the ball from the golfer when the ball reaches its
maximum height?
c) What distance does the ball travel horizontally until it first hits the ground?