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The speed v of a particle moving along a...

The speed v of a particle moving along a straight line. When it is at distance x from a fixed point on the line is `v^(2)=144-9x^(2)`. Select the correct alternatives

A

The motioni of the particle is SHM with time period `T=(2pi)/3` units

B

The maximum displacement of the particle from the fixed point is 4 units

C

The magnitude of acceleration at a distance 3 units from the fixed point is 27 units

D

the motion of the particles is periodic but not simple harmonic

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