(a)
To find: The model of quadratic function of the motion of the soccer ball.
(a)
Answer to Problem 9.8.2.1P
Explanation of Solution
Given: Alana kicks a soccer ball with initial velocity of 10 m/s when the ball is 0.5 meter above the ground.
Initial velocity,
Initial height,
Gravity,
Model of height of ball,
Where, h is height of ball and t represent time of flight.
(b)
To graph: The model of quadratic function of the motion of the soccer ball.
(b)
Answer to Problem 9.8.2.1P
Explanation of Solution
Given: Alana kicks a soccer ball with initial velocity of 10 m/s when the ball is 0.5 meter above the ground.
Initial velocity,
Initial height,
Gravity,
Model of height of ball,
Graph the function below:-
(c)
To find: When ball move rapidly.
(c)
Answer to Problem 9.8.2.1P
Explanation of Solution
Given: Alana kicks a soccer ball with initial velocity of 10 m/s when the ball is 0.5 meter above the ground.
From graph when ball is moving up rapidly.
At
When ball will land on ground. The height of ball is 0.
(d)
To find: The time of ball when it is in air.
(d)
Answer to Problem 9.8.2.1P
Explanation of Solution
Given: Alana kicks a soccer ball with initial velocity of 10 m/s when the ball is 0.5 meter above the ground.
From graph when ball is moving up rapidly.
At
When ball will land on ground. The height of ball is 0.
Difference of time
The length of time the ball is in air is 2.09 s
(e)
To find: The time of ball when it is in air.
(e)
Explanation of Solution
Given: Alana kicks a soccer ball with initial velocity of 10 m/s when the ball is 0.5 meter above the ground.
From graph when ball is moving up rapidly.
At
When ball will land on ground. The height of ball is 0.
Difference of time
The length of time the ball is in air is 2.09 s
The time in air is 2.09 s. This is time when kick ball and land on ground.
(f)
To find: The time of ball when it is at 3 m.
(f)
Answer to Problem 9.8.2.1P
Explanation of Solution
Given: Alana kicks a soccer ball with initial velocity of 10 m/s when the ball is 0.5 meter above the ground.
The model of height of ball,
Put
One time show when ball is going up
Another time when moving down.
Therefore, two value of time make sense.
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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