Q. A projectile is fired at an inclination of 45° to the horizontal, with a muzzle velocity of 102 feet per second. The height h of the projectile is given by the following where x is the horizontal distance of the projectile from the firing point.

h(x) = (-32x^2)/(102^2) + x

(a) How far from the firing point is the height of the projectile a maximum? Give your answer correct to the nearest foot.

(b) Find the maximum height of the projectile. Give your answer correct to the nearest foot.

(c) How far from the firing point will the projectile strike the ground? Give your answer correct to the nearest foot.