Use the model for projectile motion, assuming there is no air resistance and g = 32 feet per second per second. The quarterback of a football team releases a pass at a height of 5 feet above the playing field, and the football is caught by a receiver 30 yards directly downfield at a height of 4 feet. The pass is released at an angle of 35° with the horizontal. (a) Find the speed of the football when it is released. (Round your answer to three decimal places.) ft/sec (b) Find the maximum height of the football. (Round your answer to one decimal place.) ft (c) Find the time the receiver has to reach the proper position after the quarterback releases the football. (Round your answer to one decimal place.) sec

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 64E
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Use the model for projectile motion, assuming there is no air resistance and g = 32 feet per second per second.
The quarterback of a football team releases a pass at a height of 5 feet above the playing field, and the football is caught by a receiver 30 yards directly downfield at a height of 4 feet. The pass is released at an
angle of 35° with the horizontal.
(a) Find the speed of the football when it is released. (Round your answer to three decimal places.)
ft/sec
(b) Find the maximum height of the football. (Round your answer to one decimal place.)
ft
(c) Find the time the receiver has to reach the proper position after the quarterback releases the footballI. (Round your answer to one decimal place.)
sec
Transcribed Image Text:Use the model for projectile motion, assuming there is no air resistance and g = 32 feet per second per second. The quarterback of a football team releases a pass at a height of 5 feet above the playing field, and the football is caught by a receiver 30 yards directly downfield at a height of 4 feet. The pass is released at an angle of 35° with the horizontal. (a) Find the speed of the football when it is released. (Round your answer to three decimal places.) ft/sec (b) Find the maximum height of the football. (Round your answer to one decimal place.) ft (c) Find the time the receiver has to reach the proper position after the quarterback releases the footballI. (Round your answer to one decimal place.) sec
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