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A point moves in the plane xy according ...

A point moves in the plane `xy` according to the law `x=a sin omegat`, `y=a(1-cos omega t)`, where a and `omega` are positive constants. Find:
(a) the distance s traversed by the point during the time `tau`,
(b) the angle between the point's velocity and acceleration vectors.

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The correct Answer is:
[(a) `a omega tau` (b) `(pi)/(2)`]
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