A river is to be crossed by a boy using a row boat. Assume that the water has un

Question

A river is to be crossed by a boy using a row boat. Assume that the water has uniform velocity, represented above by the vector labeled D. The rowing speed of the boy and a set of possible orientation of his boat are also shown. Select the direction (i.e., A, or K, or ...) in order to cross the river in the shortest time. For which rowing orientation will the boy land on the opposite shore directly across from his starting position, neither upstream or downstream. Select an answer for each .... below.

Time to row across for A is .... for H.
For an observer on shore, the speed of the boat for J is .... for F.
The distance traveled in crossing for B is .... for J.
Time to row across for H is .... for K.
Time to row across for C is .... for A.

Explanation / Answer

In order to cross the river in shortest time direction is F

To land directly across the starting point H should be chosen

Time to row across A is equal to that for H

for an observer on shore - speed of boat for J is less than that for F

Distance travelled in crossing for B is greater than that for J

Time to row across for H is greater than for k

Time to row across for C is less than that for A

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