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A driver applies the brakes on seeing tr...

A driver applies the brakes on seeing traffic singal 400m ahead. At the time of applying of brakes vehicle was moving with speed `15 m//s`. The brekes provide uniform deceleration of `0.3m//s^(2)`. The displacement of the vehicle in 1 mmin duration after the driver sees the singal is :

A

`25m`

B

`375m`

C

`360m`

D

`40m`

Text Solution

Verified by Experts

The correct Answer is:
B

A driver ………..
The vehicle suffers displacement only till it stops and not of afterwards as brakes provide acceleration till `v != 0`
`:.` for displacement
`Delta x, v_(x)^(2) = u_(x)^(2)+2a_(x)Delta x`
`v_(x)= 0 implies Delta x = ((15)^(2))/(2xx0.3)= 375 m`
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Knowledge Check

  • A scooter moving at a speed of 10 m/s is stopped by applying brakes which produce a uniform acceleration of, -0.5 m/ s^(2) . How much distance will be covered by the scooter before it stops ?

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    484 m
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