A boy is running on a large field of ice...

A boy is running on a large field of ice with velocity `5m//s` towards the north. The coefficient of friction between his feet and the ice is 0.1. assume as a simplification that the magnitude of reaction force between the boy ad ice stays constant. He wish to change his velocity in minimum time towards the east so the final speed is also `5m//s`
Q. the minimum time necessary for him for the change is

Parabolic

Circular

Elliptical

none of these

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