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The displacement of a particle is given by ` x = 3 sin ( 5 pi t) + 4 cos ( 5 pi t)`. The amplitude of particle isA. `3`B. `4`C. `5`D. `7`

Answer» Correct Answer - C
Standard equation : `x = a sin omega t + b cos omega t`
` x = sqrt (a^(2) + b^(2)) sin ( omega t + tan^(-1) (b//a))`
Given equation ` x = 3 sin ( 5 pi t) + 4 cos ( 5 pi t)`
` x = sqrt ( 9 + 16) sin ( 5 pi t + tan^(-1) ( 4//3))`


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