If $x = \cos 2 t , y = \sin ^ { 2 } t \text { and } ( x , y )$

Short Answer

If $x = \cos 2 t , y = \sin ^ { 2 } t \text { and } ( x , y )$ represents the position of a particle, find the distance the particle travels as t moves from 0 to $\frac { \pi } { 2 } .$