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
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.