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Which graph correctly depicts the variation of velocity with time for SHM?

1. Displacement, x = A cos(ωt) (given)
2. Velocity, v = dx/dt = -Aω sin(ωt)
3. Acceleration, a = dv/dt = -Aω² cos(ωt)
4. Hence graph (c) correctly depicts the variation of v with t.

Correct answer: Velocity, v = dx/dt = -Aω sin(ωt)

Solution

The velocity in SHM is given by v = -Aω sin(ωt), which is a sine function. The graph of velocity vs. time will be sinusoidal, starting from zero and oscillating between -Aω and Aω.

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