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The displacement y in cm is given in ter...

The displacement y in cm is given in terms of time t sec by the equation
`y=3sin314t+4cos314t`
The amplitude of SHM is

A

7 cm

B

3 cm

C

4 cm

D

5 cm

Text Solution

Verified by Experts

The correct Answer is:
D
Given,
`y=3sin314t+4cos314t`
Comparing with the equation
`y=asinomega+bcosomega`
we have a=3cm, b=4cm
`therefore`amplitude `r=sqrt(a^(2)+b^(2))`
`=sqrt(9+16)=5cm`
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