Question

An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 175ft. Use the formula s=24d−−−√ to find the speed of the vehicle before the brakes were applied. Round your answer to the nearest tenth.

Answer 1

The vehicles must travel at a speed of 64.8 ft/s before he applied brakes as we know the length of skid marked was 175 feet.

Explanation:

For the given values in the above question we came to know that the vehicle skidded till 175 feet and the investigator wants to know in how much speed the vehicle is travelling.

As given in question,
`S=√(24 d)`

Where, S is speed of the vehicle , d is distance the vehicle skidded

Now,
`S=√(24 * 175)=√(4200)=64.8`

∴ Speed of the vehicle before applying breaks is 64.8 ft/s .

Answer 2

Speed before applying brakes = 64.8

Explanation:

The formula is given as:

`s=√(24d)`

Where

s is speed of car, and

d is length of skid marks

It is given that d = 175 ft, so we substitute and find the speed of the car before the brakes were applied.

`s=√(24d)\\s=√(24*175)\\s=64.81`

Rounding to nearest tenth, that is 64.8