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
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