Question

to estimate the speed of a car, v, in miles per hour, based on the length, L, in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 242 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.

Answer 1

Answer:

69.6 miles per hour

Step-by-step explanation:

Length of the skid marks = 242 feet

The formula used for the velocity is

$v=2\sqrt{5L}$

where, L is the length of skid marks in feet and the velocity obtain has the units of miles per hour.

By substituting the value

$v=2\sqrt{5\times 242}$

v = 69.6 miles per hour

Thus, the speed of the car at the time of accident is 69.6 miles per hour.