Q4: The coordinates of an object moving in the xy plane vary with time according to the equations x = sin vt and y = cos vt, where v is a constant, x and y are in meters, and t is in seconds.
(a) Determine the components of velocity of the object at t = .
(b) Determine the components of acceleration of the object at t = ..
(c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (d) Describe the path of the object in an xy plot.