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A car driver going at speed v suddenly f...

A car driver going at speed `v` suddenly finds a wide wall at a distance `r` . Should he apply breakes or turn the car in a circle of radius `r` to avoid hitting the wall.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
If he applies the breaks, then to stop the car in a distance `r`

`0=v^(2)-2a_(1)r`
:. `a_(1)=(v^(2))/(2r)=` minimum retardation required.
(by friction)
If he take a turn of radius `r` , the centripetal acceleration required is
`a_(2)=(v^(2))/(r)` (provided again by friction)
Since `a_(1)lta_(2)` , it is better to apply breakes.
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