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
