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The coordinates of a particle moving in ...

The coordinates of a particle moving in a plane are given by x(t) = acos(pt) and y(t) = bsin(pt) where a,b(< a) and p are positive constants of appropriate dimensions.Then

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 directed towards a focus

D

The distance travelled by the particle in a time interval t = 0 to `t = \pi / ( 2 p )`

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(A,B,C)
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