When a car skids to a stop, the length L (in feet) of the skid marks is related to the speed S (in miles per hour) of the car by the power function. L- S2 30h The constant h is the friction coefficient, which depends on the road surface. Research reports that the friction coefficient is actually reduced at higher speeds. For dry concrete pavement, the value of h is about 0.85. (a) If a driver going 55 miles per hour on dry concrete jams on the brakes and skids to a stop, how long will the skid marks be? feet (b) A policeman investigating an accident on dry concrete pavement finds skid marks 126 feet long. The speed limit in the area is 40 miles per hour. Is the driver in danger of getting a speeding ticket? (In your calculations round the numbers to 2 decimal places.) The driver's speed was MPH so it appears the driver -Select- be in danger of getting a ticket.

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When a car skids to a stop, the length L (in feet) of the skid marks is related to the speed S (in miles per hour) of the car by the power function.
s2
30h
The constant h is the friction coefficient, which depends on the road surface. Research reports that the friction coefficient is actually reduced at higher speeds. For dry concrete pavement, the value of h is about 0.85.
(a) If a driver going 55 miles per hour on dry concrete jams on the brakes and skids to a stop, how long will the skid marks be?
feet
(b) A policeman investigating an accident on dry concrete pavement finds skid marks 126 feet long. The speed limit
the area is 40 miles per hour. Is the driver in danger of getting a speeding ticket? (In your calculations round the numbers to 2 decimal
places.)
The driver's speed was
MPH so it appears the driver
Select- be in danger of getting a ticket.
(c) This part of the problem applies to any road surface, so the value of h is not known. Suppose you are driving at 70 miles per hour, but because of approaching darkness you wish to slow to a speed that will cut your emergency stopping distance in half.
What should your new speed be? (Hint: You could apply the homogeneity property of power functions.)
miles per hour.
Transcribed Image Text:When a car skids to a stop, the length L (in feet) of the skid marks is related to the speed S (in miles per hour) of the car by the power function. s2 30h The constant h is the friction coefficient, which depends on the road surface. Research reports that the friction coefficient is actually reduced at higher speeds. For dry concrete pavement, the value of h is about 0.85. (a) If a driver going 55 miles per hour on dry concrete jams on the brakes and skids to a stop, how long will the skid marks be? feet (b) A policeman investigating an accident on dry concrete pavement finds skid marks 126 feet long. The speed limit the area is 40 miles per hour. Is the driver in danger of getting a speeding ticket? (In your calculations round the numbers to 2 decimal places.) The driver's speed was MPH so it appears the driver Select- be in danger of getting a ticket. (c) This part of the problem applies to any road surface, so the value of h is not known. Suppose you are driving at 70 miles per hour, but because of approaching darkness you wish to slow to a speed that will cut your emergency stopping distance in half. What should your new speed be? (Hint: You could apply the homogeneity property of power functions.) miles per hour.
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