Concept explainers
a.
To find: The equation that models the using the function
a.
Answer to Problem 72E
The required equation is
Explanation of Solution
Given information:
Initial height = 2.5 feet
Initial vertical velocity = 45 feet per second
The given initial height is 2.5 feet that is,
And, the initial vertical velocity is 45 feet per second that is,
The given equation is
Substitute 45 for
Hence, the required equation is
b.
To calculate: The amount of time that the football is in the air.
b.
Answer to Problem 72E
The required amount of time that the football is in the air is 2.74 seconds.
Explanation of Solution
Given information:
Initial height = 2.5 feet
Initial vertical velocity = 45 feet per second
The height of the football = 5.5 feet
The given initial height is 2.5 feet that is,
The initial vertical velocity is 45 feet per second that is,
And, the height of the football is 5.5 feet that is,
The given equation is
Substitute 45 for
Simplify the above equation using the Quadratic formula
Solve the above expression for t .
And,
The value t = 0.07 second is the first time the ball reaches 5.5 feet.
So, the football is in the air for 2.74 seconds.
Hence, the required amount of time that the football is in the air is 2.74 seconds.
Chapter 9 Solutions
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