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. the velocity and acceleration of the particle are
normal to each other at `t = pi/2 p
C. the acceleration of the particle is always
D. the distance travelled by the particle in time
interval `t = 0` to `l = n / 2 p` is a.