
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)

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)

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)

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)

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 Enhanced with Graphing Utilities
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