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A particle moves according to the law, x...

A particle moves according to the law, `x=acos(pit//2).` . What is the distance covered by it in time interval `t=0` to `t=3` second.

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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