a.
To find: The position
a.
Answer to Problem 34E
Explanation of Solution
Given information:
A player punts the ball from his own 30-yard line at an angle of
Calculation:
The horizontal position,
The vertical position,
Thus, the position vector at time
b.
To find: The velocity vector of the baseball at time
b.
Answer to Problem 34E
Explanation of Solution
Given information:
A player punts the ball from his own 30-yard line at an angle of
Calculation:
The position vector at time
The velocity vector by derivative of position vector with respect to
Hence, the velocity vector is
c.
To find: The time when ball over the player on the line 10-yard line.
c.
Answer to Problem 34E
0.53 second
Explanation of Solution
Given information:
A player punts the ball from his own 30-yard line at an angle of
Calculation:
The position vector at time
The horizontal position of player 10-yard.
As 3 ft is 1 yard, So the 10-yard.
The number of feet in 10-yard is 30 feet.
So,
Thus, the ball over the player in 0.53 second.
d.
To check: The player catches the ball at
d.
Answer to Problem 34E
No
Explanation of Solution
Given information:
A player punts the ball from his own 30-yard line at an angle of
Calculation:
The position vector at time
Put
Since the height of player is 6 ft, the ball height is at 31.51 ft.
So, the player cannot catch the ball.
Chapter 10 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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