Resultant velocity of a rower crossing a river's current
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a. Rower A wishes to cross a river directly to the opposite bank (east) a distance of 30m. (i.e. at 90 to the shore). The current is flowing NS at 2.6 m/s and he can sustain a rowing speed of 3 m/s.
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Solution Summary
The resultant velocity of a rower crossing a river's current is determined.
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SOLUTION
a. i)Velocity vector diagram
The rower is subjected to two velocities simultaneously - the velocity of the river and his own rowing velocity. The rower will actually move in the direction of the resultant of these two velocities. As the rower wants to cross the river directly to the opposite bank i.e. wants to travel perpendicular to the bank, rower's resultant velocity must be in that direction. To achieve this the rower's velocity should be suitably directed as shown in the vector diagram below :
VA = 3 m/s
θ Vresult
...
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