A car skids a distance of 54m on a dry road. What was the velocity of the car when the skid began if the coefficient of friction between the tires and the road is .46?
A
16m/s
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B
22m/s
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C
28m/s
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D
34m/s
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E
Velocity cannot be determined with the information given
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Solution
The correct option is B22m/s
Given : μ=0.46
Let the mass and initial velocity of the car be m and u respectively.
Final velocity of the car is zero i.e v=0m/s
Skidding distance S=54 m
Thus frictional force f=μmg
∴ Acceleration of the car a=−μmgm=−μg=0.46×9.8=−4.5m/s2