The position of a particle moving in the xy-plane is given by the parametric function p(t) = (xt), y (t)), where xt) = 5 cos t + 10 sin (t/2) cos t and y(t)= 5 sin t +10sin (t/2)sin t for 3pi/2 less than or equal to t less than or equal to 5pi/2 seconds.
Determine the time T and the position of the particle when the particle is farthest left.