The coordinate of a particle moving in a plane are given by ` x(t) = a cos (pt) and y(t) = b sin (pt)` where `a,b (lt a)` and `P` are positive constants of appropriate dimensions . Then

Options

A. The path of the particle is an ellipse
B. Velocity and acceleartion of the particle are perpendicular to each other at `t=(pi)/(2p)`
C. Acceleration of the particle is always directed towards a fixed point
D. distance travelled by the particle in time internval between `t=0 and t=(pi)/(2p)` is a

Answer

D