Solve the Problem $45 ^ { \circ }$ To the Horizontal, with a Muzzle Velocity of 380 Feet

question 155

Multiple Choice

Solve the problem.
-A projectile is fired from a cliff 200 feet above the water at an inclination of $45 ^ { \circ }$ to the horizontal, with a muzzle velocity of 380 feet per second. The height h of the projectile above the water is given by h $( x ) = \frac { - 32 x ^ { 2 } } { ( 380 ) ^ { 2 } } + x + 200$ , where $x$ is the horizontal distance of the projectile from the base of the cliff. Find the maximum height of the projectile.

• A)2256.25 ft
• B)3584.38 ft
• C)1128.13 ft
• D)1328.13 ft

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