The quarterback of a football team releases a pass at a height of 6 feet above the playing field, and the football is caught by a receiver at a height of 3 feet, 39 yards directly downfield. The pass is released at an angle of 36° with the horizontal. a) Write a set of parametric equations for the path of the football. (Write your equations such that t is in seconds and x and y are measured in feet.) b) Find the speed of the football when it is released. (Round your answer to two decimal places.) c) Use a graphing utility to graph the path of the football and approximate its maximum height. (Round your answer to the nearest whole foot.) d) Find the time the receiver has to position himself after the quarterback releases the football. (Round your answer to two decimal places.)
The quarterback of a football team releases a pass at a height of 6 feet above the playing field, and the football is caught by a receiver at a height of 3 feet, 39 yards directly downfield. The pass is released at an angle of 36° with the horizontal.
a) Write a set of parametric equations for the path of the football. (Write your equations such that t is in seconds and x and y are measured in feet.)
b) Find the speed of the football when it is released. (Round your answer to two decimal places.)
c) Use a graphing utility to graph the path of the football and approximate its maximum height. (Round your answer to the nearest whole foot.)
d) Find the time the receiver has to position himself after the quarterback releases the football. (Round your answer to two decimal places.)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
