A projectile is fired from a cliff 190 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 45 feet per second. The height h of the projectile above the water is given by - 32x? h(x) = (45)? +x+ 190 where x is the horizontal distance of the projectile from the face of the cliff. Use this information to answer the following. (a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
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A projectile is fired from a cliff 190 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 45 feet per second. The height h of the
projectile above the water is given by
- 32x?
h(x) =
(45)?
+x+ 190
where x is the horizontal distance of the projectile from the face of the cliff. Use this information to answer the following.
(a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum?
Transcribed Image Text:A projectile is fired from a cliff 190 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 45 feet per second. The height h of the projectile above the water is given by - 32x? h(x) = (45)? +x+ 190 where x is the horizontal distance of the projectile from the face of the cliff. Use this information to answer the following. (a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum?
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