Police can estimate the speed of a vehicle before the brakes are applied using the formula 0.75d=s230.25 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 150 feet?(1 point)

A) about 58 miles per hour
B) about 15 miles per hour
C) about 11 miles per hour
D) about 67 miles per hour

1 answer

To find the approximate speed of the vehicle, we need to rearrange the formula to solve for s:

0.75d = s^(2/3)
s = (0.75d)^(3/2)

Given d = 150 feet:
s = (0.75 * 150)^(3/2) = (112.5)^(3/2) = 50.625

Therefore, the approximate speed of the vehicle was about 51 miles per hour.

So, the closest answer choice is:
A) about 58 miles per hour