A man wishes to cross a river of width by motorboat

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A man wishes to cross a river of width 120 m120\,\mathrm{m} by motorboat. His speed in still water is 3 m/s3\,\mathrm{m/s} and his maximum walking speed is 1 m/s1\,\mathrm{m/s}. The river flows at 4 m/s4\,\mathrm{m/s}. (1) Find the path he should take to reach the point directly opposite his starting point in the shortest time. (2) Find the time taken to reach his destination.

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