Chapter P.4, Problem 94E

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Chapter
Section

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem
1 views

# Speed of a skidding carPolice use the formula s = 30 f d To estimate the speed s (in mi/h) at which a car is travelling if it skids d feet after the brakes are applied suddenly. The number f is the coefficient of friction of the road, which is a measure of the “slipperiness” of the road. The table gives some typical estimates for f. Tar Concrete Gravel Dry 1.0 0.8 0.2 Wet 0.5 0.4 0.1 If a car skids 65 ft on wet concrete, how fast was it moving when the brakes were applied? If a car is travelling at 50 mi/h, how far will it skid on wet tar?

To determine

a)

The speed (in mi/h) of the moving car when the brakes were applied, if the car moving on wet concrete skids 65 ft.

Explanation

Approach:

Given Information:

If a moving car skids d feet after the brakes are suddenly applied, the speed (s) at which the car is travelling is estimated by using the formula s=30fd (in mi/hr). Here f denotes the coefficient of friction of the road.

The table given below illustrates some typical estimates for f.

To determine

b)

The distance that the car skids on wet tar, if the car travels at a speed of 50 mi/h.

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 Tar Concrete Gravel Dry 1.0 0.8 0.2