A projectile is fired from a cliff 190 feet above the water at an inclination of 45 degree to the horizontal ,with muzzle velocity of 45 feet per second. The height h of the projectile above the water is given by h(x)=-32x^2/((45)^2) +x+190 Where x is the horizontal distance of the projectile from the face of the cliff. (A) At what distance from the face of the cliff is the height of the projectile a maximum?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
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A projectile is fired from a cliff 190 feet above the water at an inclination of 45 degree to the horizontal ,with muzzle velocity of 45 feet per second. The height h of the projectile above the water is given by h(x)=-32x^2/((45)^2) +x+190 Where x is the horizontal distance of the projectile from the face of the cliff. (A) At what distance from the face of the cliff is the height of the projectile a maximum?
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