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A car accelerates from rest at a constan...

A car accelerates from rest at a constant rate of `2 m s^(-2)` for some time. The it retatds at a constant rate of `4 m s^(-2)` and comes to rest. It remains in motion for `6 s`.

A

Its maximum speed is `8 m s^(-1)`

B

Its maximum speed is `6 m s^(-1)`

C

It travelled a total distance of `24 m`

D

It travelled a total distance of `18 m`

Text Solution

Verified by Experts

The correct Answer is:
A, C
`a_(1)=2 ms^(-2)` , `a_(2) =-4 m s^(-2)`
.
`v_(0)-a_(1) =2t_(1) ,v_(0)-a_(2)t_(2) =4t_(2)`
`t_(1) +t_(2) =6 rArr v_(0)/(2) +v_(0)/(4) =6 rArr v_(0)=8 ms^(-1)`
Tolat distance travelled
`S=AC+CB`
`=(1)/(2)v_(0)t_(1)+(1)/(2)v_(0)t_(2) =(1)/(2)xx8xx6=24 m`.
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