Solve the Problem $$h ( x ) = \frac { - 32 x ^ { 2 } } { ( 300 ) ^ { 2 } } + x + 300$$

question 199

Multiple Choice

Solve the problem.
-A projectile is fired from a cliff 300 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 300 feet per second. The height h of the projectile above the water is given by $$h ( x ) = \frac { - 32 x ^ { 2 } } { ( 300 ) ^ { 2 } } + x + 300$$ where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is
The height of the projectile a maximum?

• A) 1,003.13 ft
• B) 1,406.25 ft
• C) 703.13 ft
• D) 2,409.38 ft