The maximum speed and acceleration of a particle executing simple harmonic motion are 10 cm s^{-1} and 50 cm s^{-2}. Find the position(s) of the particle when the speed is 8 cm s^{-1}.

1.2 cm from the mean position

maximum speed simple harmonic motion is given by the expression

Maximum acceleration is given by the relation,

Dividing both the equations,

Now,

The position of the particle is now

[Taking x=0 at t=0]

Also,

Now,

∴ For v = 8 cm/s, we have

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