A projectile is fired from a cliff 500 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 260 feet per second. The height h of the projectile above the water is given by h(x)= -32x2 (260)2 +x+500, where x is the horizontal distance of the projectile from the base of the cliff. Find the maximum height of the projectile.
A projectile is fired from a cliff 500 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 260 feet per second. The height h of the projectile above the water is given by h(x)= -32x2 (260)2 +x+500, where x is the horizontal distance of the projectile from the base of the cliff. Find the maximum height of the projectile.
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
Related questions
Question
Transcribed Image Text:Solve the problem.
A projectile is fired from a cliff 500 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 260 feet per second. The
-32x²
height h of the projectile above the water is given by h(x)=
+ x + 500, where x is the horizontal distance of the projectile from the base of the
(260)2
cliff. Find the maximum height of the projectile.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell