Police can estimate the speed of a vehicle before the brakes are applied using the formula 0.75d = (s^2) / (30.25) where s is the speed in miles per hour and d is the length of the vehicle's skid marks. What was the approximate speed of a vehicle that left a skid mark measuring 140 feet?

Question

Mathematics

Jadiel Howe

Yesterday, 23:12

Police can estimate the speed of a vehicle before the brakes are applied using the formula 0.75d = (s^2) / (30.25) where s is the speed in miles per hour and d is the length of the vehicle's skid marks. What was the approximate speed of a vehicle that left a skid mark measuring 140 feet?

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Whitney Rice · Answer 1

We know that 0.75d = (s^2) / (30.25), so for d=140ft

0.75 x 140 = (s^2) / (30.25) implies 0.75 x 140 x 30.25) = (s^2), and then

s = sqrt (0.75 x 140 x 30.25) = 56.35 miles / hour