a.
Tofind: The set of parametric equations for the path of the football.
a.
Answer to Problem 95E
The parametric equations for for the path of the football are,
Explanation of Solution
Given: The quarderback releases a pass at a height of
The reciever catches the football at a height of
The pass is released at an angle of
Calculation:
By using the parametric equations for projectile,
We know that,
By susbstituting the angle and height we get,
Therefore, the above equations are the parametric equations for the path of football.
b.
To find the speed of the football when it is released.
b.
Answer to Problem 95E
The speed of the football when it is released is
Explanation of Solution
Given: The quarderback releases a pass at a height of
The reciever catches the football at a height of
The pass is released at an angle of
Calculation:
Solving for
By solving for
Thus we can find the velocity of the football.
c.
To graph: The path of the football and approximate its maximum height.
c.
Answer to Problem 95E
Approximated maximum height is
Explanation of Solution
Given: The quarderback releases a pass at a height of
The reciever catches the football at a height of
The pass is released at an angle of
Calculation:
The above graph represents the path of the football.
The approximated maximum height of the path of the football is
Thus we can graph the path of the football using a graphing utitliy and find the maximum height.
d.
To find: The time the receiver has to position after the quarterback releases the football.
d.
Answer to Problem 95E
The receiver has to position in
Explanation of Solution
Given: The quarderback releases a pass at a height of
The reciever catches the football at a height of
The pass is released at an angle of
Calculation:
Substitute,
The receiver has to position in
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning