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Concept explainers
(a)
To find: the initial velocity with which the ball must be shot in order for the ball to go through the hoop.
(a)
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Answer to Problem 30AYU
The initial velocity is 30 feet per second.
Explanation of Solution
Given information:
A player shoots an underhand foul shot, releasing the ball at a 70 degree angle from a position 3.5 feet above the floor, then the ball can be modeled by the function
Calculation:
Substitute 10 for
Simplify.
Isolate
Multiply
Take the positive square root on both the sides.
The initial velocity is 30 feet per second.
(b)
To write: the function for the path of the ball using the velocity found in part (a).
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 30AYU
The function is
Explanation of Solution
Given information:
A player shoots an underhand foul shot, releasing the ball at a 70 degree angle from a position 3.5 feet above the floor, then the ball can be modeled by the function
Calculation:
We know that the initial velocity is 30 per second. Substitute 30 for
(c)
To find: the height of the ball after it has traveled 9 feet in front of the foul line.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 30AYU
The height of the ball after it has traveled 9 feet in front of the foul line is 15.56 feet.
Explanation of Solution
Given information:
A player shoots an underhand foul shot, releasing the ball at a 70 degree angle from a position 3.5 feet above the floor, then the ball can be modeled by the function
Calculation:
We know that the function obtained is
Therefore, the height of the ball after it has traveled 9 feet in front of the foul line is 15.56 feet.
(d)
To find: the height of the ball after it has traveled 9 feet in front of the foul line.
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 30AYU
The height of the ball will be 9.7feet in negative direction.
Explanation of Solution
Given information:
A player shoots an underhand foul shot, releasing the ball at a 70 degree angle from a position 3.5 feet above the floor, then the ball can be modeled by the function
Calculation:
We know that a point on the graph is
Choose some more value for
0 | 3.5 |
4 | 11.9 |
9 | 15.6 |
21 |
Plot the points from the table on a coordinate plane and connect them.
Chapter 2 Solutions
Precalculus
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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