A point moves the plane xy according to the law x=K sin wt and y=K(1-cos wt) where K and w are positive constants.Find the distance s traversed by the particle duting time t

Explanation

x=K sin wt,`v_(x)=(dx)/(dt)=Komega cos omegat`
y=K(1-cos omegat)
`v_(y)=(dy)/(dt)=Komega` ,`v=sqrt(V_(x)^(2)+V_(y)^(2))=komega`
`"Distance"="speedxx"time" =(Komega)t.`