The coordinates of a particle moving in a plane are given by \[=-\ 8\ m/{{s}^{2}}.\] and \[y(t)=b\sin (pt)\] where \[a,\,\,b\,(

• A.             The path of the particle is an ellipse
• B.             The velocity and acceleration of the particle are normal to each other at \[t=\pi /(2p)\]
• C.             The acceleration of the particle is always directed towards a focus
• D.             The distance travelled by the particle in time interval \[t=0\] to \[t=\pi /(2p)\] is \[a\]