JEE Advance - Physics (1999 - No. 1)
The coordinates of a particle moving in a plane are given by x(t) = a cos(pt) and y(t) = b sin(pt) where a, b (< a) and p are positive constants of approprite dimensions. Then
the path of the particle is an ellipse
the velocity and acceleration of the particle are normal to each other at t = $${\pi \over {2p}}$$
the acceleration of the particle is always directed towards a focus
the distance traveled by the particle in time interval t = 0 to t = $${\pi \over {2p}}$$ is a
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