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 skid marks measuring 150 feet?

(1 point)

about 11 miles per hour

about 15 miles per hour

about 58 miles per hour

about 67 miles per hour

1 answer

To find the approximate speed of the vehicle, you can rearrange the formula to solve for s:

0.75d = s^2/30.25
0.75 * 150 = s^2/30.25
112.5 = s^2/30.25
112.5 * 30.25 = s^2
3401.25 = s^2
s ≈ √3401.25
s ≈ 58

Therefore, the approximate speed of the vehicle was about 58 miles per hour. So, the correct answer is:

about 58 miles per hour.