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A particle moves according to the law x ...

A particle moves according to the law `x = acos`(pi)/(2)` The distance covered by it in the time interval between t=0 to t=3s is

A

`2a`

B

`3a`

C

`4a`

D

`a`

Text Solution

Verified by Experts

The correct Answer is:
B
Comparing the given equation with `x = a cos omegat`
`:. omega = (pi)/(2)` or `(2 pi)/(T) = (pi)/(2) :. T = 4 sec`
The given time `t = 3` sec is really `(3T)/(4)`
`:.` distance covered will be 3 a
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