Concept explainers
a.
To find the height of the ball after being thrown vertically upward.
a.
Answer to Problem 12P
The height of the ball after being thrown vertically upward is 100 ft.
Explanation of Solution
Given information:
The initial speed of the ball is 80 ft/s and the height of the ball after
The standard form of a
So, the formula of the axis of symmetry:
Here,
Now, comparing it with the standard form of the quadratic equation:
By applying the formula of the axis of symmetry:
So, the time taken to reach the height
Hence,
The height of the ball after being thrown vertically upward is 100 ft.
b.
To find the time taken by the ball to hit the ground.
b.
Answer to Problem 12P
The total time taken by the ball to hit the ground is 5 seconds.
Explanation of Solution
Given information:
The initial speed of the ball is 80 ft/s and the height of the ball after
After being thrown the ball from the height
Since,
The time taken by the ball to reach the maximum height
So, the total time taken by the ball
Hence,
The total time taken by the ball to hit the ground is 5 seconds.
Chapter 7 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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