## Question

A body executing linear simple harmonic motion has a velocity of 3 cms^{–1}when its displacement is 4 cm and a velocity of 4 cms^{–1} when its displacement is 3 cm. what is the amplitude of oscillation?

### Solution

5 cm

Is SHM, the velocity *V* at a displacement *x* is given by

Also

Simultaneous solution of Eqs. (i) and (ii) gives

Amplitude A = 5 cm

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