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The displacement equation of a particle ...

The displacement equation of a particle is `x=3 "sin "2t+4 " cos"2t` . The amplitude and maximum velocity will be respectively

A

`5,10`

B

`3,2`

C

`4,2`

D

`3,8`

Text Solution

Verified by Experts

The correct Answer is:
A

`x = 3sin 2t + 4t + 4cos 2t = 5sin (2t + phi)`
`rArr a = 5, v_(max) = aomega = (5)(2) = 10`
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