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A particle moves along x- axis. It's vel...

A particle moves along `x-` axis. It's velocity is a function of time according to relation `V=(3t^(2)-18t+24)m//s` assume at `t=0` particle is at origin.
Time interval in which particle speed continuous decreases?

A

`0-3 sec`

B

`0-2 sec`

C

`2-4 sec`

D

`2-3 sec`

Text Solution

Verified by Experts

The correct Answer is:
B
`V=3(t-2)(t-4)`
`a=6(t-3)`
common interval in which `V` and a both have opposite sign is `0` to `2 sec`
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