A baseball player hit a ball into the air. W hen the ball has traveled a horizontal distance of x feet, the ball's height H , in feet, is given by

H ( x ) = - 0.003 x ^2 + 1.2 x + 3.9

(a) What is the height of the ball when it has traveled a horizontal distance of 350 feet ?

(b) What is the maximum height of the ball ? Show work.