(a)
To calculate : The radius of the skid mark shown in the figure.
The radius of the skid mark is
Given information :
A car skids while turning to avoid an accident. The car's speed
Calculation :
The skid mark can be compared to a translated
Now, for the point
For the point
For the point
Substitute the value of
Substitute the value of
Substitute the value of
Therefore, the radius of the skid mark is
(b)
To calculate : The speed of the car for
The required values are
Given information :
A car skids while turning to avoid an accident. The car's speed
Calculation :
The radius of the skid mark is
The speed of the car for
Therefore, the speed of the car is
(c)
To explain : The effect of speed of car while skidding on the radius of the circles.
When the speed increases the radius also increases.
Given information :
A car skids while turning to avoid an accident. The car's speed
Explanation :
The speed of the car while skidding is given by the formula
This shows that the speed of the car is directly proportional to the radius.
Therefore, when the speed increases the radius also increases.
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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