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A car moving aling a straight highway wi...

A car moving aling a straight highway with speed of ` 126 km h^(-1)` is brought to a stop within a distance of ` 200 m`. What is the retardation of the car (assumed uniform ) ans how doest it take fro the car to stop ?

Text Solution

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initial velocity `u = 126 xx (5)/(18) = 35 m//s`,
`s = 200` m
From equation of motion `v^(2) = u^(2) + 2as`
`rArr 0 = (35)^(2) + 2a xx 200 rArr a = -3.06 m//s^(2)`
`therefore ` retardation is 3.06 ` m//s^(2)`
`v= u + at, 0 = 35 - 3.06t`
`t = 11.4 sec`.
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