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 $\frac { \pi } { 2 } .$

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The Answer of 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 $\frac { \pi } { 2 } .$

If x=cos⁡2t,y=sin⁡2t and (x,y)x = \cos 2 t , y = \sin ^ { 2 } t \text { and } ( x , y )x=cos2t,y=sin2t and (x,y)

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