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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.
Distance travelled by particle in 0 to 3 second time interval is `:`

A

`18m`

B

`20m`

C

`22m`

D

`24m`

Text Solution

Verified by Experts

The correct Answer is:
C
`V=(3t^(2)-18t+24)m//s`
`V=3(t-2)(t-4)`
`s=|underset(0)overset(2)int Vdt|+|underset(2)overset(3)intVdt|`
`=|underset(0)overset(2)int(3t^(2)-18t+24)dt|+|underset(2)overset(3)int (3t^(2)-18t+24)dt|=|20|+|-2|=22m`
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