A cop is going in a car towards east at 60 km/hr on a four lane road. Coefficient of static and kinetic friction between car tires and road are same. Suddenly he gets order to pursue a speeding car going west. He decides to take a U-turn from gap in median ahead of him. Check validity of the following statements for path while making the U-turn in quickest possible way.

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The car follows a circular path during the turn.

The car follows a parabolic path during the turn

He must stop at least once.

It can be any curve, provided that there is no slipping

answer is B.

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Detailed Solution

There is constant acceleration towards west that is the maximum available acceleration due to friction. Since there is constant acceleration, only two paths are possible i.e., straight line and parabola. Straight line is not allowed in this case, so it has to be parabolic path.

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