A point moves in the plane xyx yxy according to the law xxx =asinωt,y=a(1−cosωt),=a \sin \omega t, y=a(1-\cos \omega t),=asinωt,y=a(1−cosωt), where aaa and ω\omegaω are positive constants. Find: (a) the distance sss traversed by the point during the time τ\tauτ; (b) the angle between the point's velocity and acceleration vectors.