A body of mass 1 kg moves in x-y plane such that its position vector is given by vector v = sin(t)i cap + cos(t)j cap.

(a) Find its equation of trajectory. ( Ans : x2 + y2 = 1)

(b) Find the velocity of the particle at the initial time . ( Ans :vector v = cos t i cap - sin t j cap )

(c) Find the component of its acceleration int the direction of velocity at time t . ( Ans : 0 )

(d) Find angle between velocity vector and acceleration vector at time t. ( Ans : pi / 2 )