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Velocity of a particle moving along a st...

Velocity of a particle moving along a straight line at any time 't' is give by `V = cos((pi)/(3)t)` . Then the distance travelled by the particle in the first two seconds is :

A

`(3)/(pi)[2-(sqrt(3))/(2)]`

B

`[2-(sqrt(3))/(2)]`

C

`(2)/(pi)[2-(sqrt(3))/(2)]`

D

`(4)/(pi)[2-(sqrt(3))/(2)]`

Text Solution

Verified by Experts

The correct Answer is:
A
Velocity of ……….
`v = cos ((pi)/(3)t) implies (dx)/(dt) = cos ((pi)/(3)t)`
`implies x = overset((3)/(2))underset(0)int cos ((pi)/(3)t)dt+|overset(2)underset((3)/(2))int cos ((pi)/(3)t)dt|`
`implies x = (3)/(pi)[2- (sqrt(3))/(2)]`
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