Concept explainers
To calculate: The point that the skier earns.
Answer to Problem 12CT
The required points earned are 55 points.
Explanation of Solution
Given information:
The function:
The maximum height = 1 point per foot
Time in air = 5 points per second
Perfect landing = 25 points
Initial vertical velocity = 28 feet per second
The given function is
Subtract 8 from each side of the above equation.
Thus, the vertex of the above equation is
Also, the maximum height is 20.25 feet.
So, the points earned are 20 points.
Here, the total time in air can be calculated when
Rewrite the equation as:
Simplify the above equation by factoring.
Solve for t .
And,
But time cannot be negative.
So, the total time in air is 2 seconds.
Also, the points earned are 10 points.
Since, the skier achieves a perfect landing, so the skier also earned 25 points.
Thus, the total points earned is,
Hence, the required points earned are 55 points.
Chapter 9 Solutions
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