Police use the formula:
v = √ 20 L
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 194 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.

Police use this formula 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.

It is given that car's skid marks is 194 feet at the scene of an accident.

We need to find the speed of car at the time of accident.

Substitute L=194 in the above formula.

[tex]v=\sqrt{20(194)}[/tex]

[tex]v=\sqrt{3880}[/tex]

[tex]v=62.289646[/tex]

[tex]v\approx 62.3[/tex]

Therefore, the speed of car is 62.3 miles per hours.

adioabiola adioabiola · Answer 2 · 2022-04-01T11:27:19+02:00

adioabiola adioabiola

01-04-2022

The car given the formula V = √20L was traveling at 62.3 miles per hour

How to solve an equation

V = √20L

where,

v = speed in miles per hour
L = Length in feet

If

L = 194 feet long

V = √20L

= √20 × 194

= √3,880

V = 62.2896460095897

Approximately,

V = 62.3 miles per hour

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