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//(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

Answer

A, B