The makers of a certain motor car state that if the brakes are applied fully on a dry level road at 48 kmph, the vechicle will stop in 13m. A motorist while driving one of these cars on a level road was involved in an accident. However, if he claimed that he was proceeding at 32 kmph, and he had stopped in 3m after applying the brakes, then justify whether the claim was right or wrong.

Explanation

`v_(1)=48kmph=48xx(5)/(18)=13.3ms^(-1),v_(2)=32kmph=32xx(5)/(18)=8.9ms^(-1)`
`s_(2)=3m`, for the same retarding force,
`v^(2)props therefore (s_(2))/(s_(1))=((v_(2))/(v_(1)))^(2)`
`therefore s_(2)=((v_(2))/(v_(1)))^(2)s_(1)=((8.9)/(13.3))^(2)xx13`
`s_(2)=5.82m`
`because s_(2)gt3m`, his statement was wrong.