Crossing River using pointing method!

Classical Mechanics Level 4

Suppose you are anchored near the shore of a channel of width b b in which there is steady current, and you run your (motor) boat at constant throttle to a dock directly across the channel on the opposite shore. You steer the boat in such a way that the nose of the boat is always pointed directly at the dock. The velocity of the boat with respect to the water is ‘ v v ’ and the velocity of water is ‘ u ‘u .

Find the time it takes you to reach the dock.

b v 2 − u 2 \frac{b}{\sqrt{v^2 - u^2}} b v v 2 − u 2 \frac{bv}{v^2 - u^2} b v u 2 \frac{bv}{u^2} b u v 2 \frac{bu}{v^2} None of These

Nishant Rai by Nishant Rai , 25, India

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1 solution

Rahul Badenkal
Jun 19, 2015

12 Helpful 1 Interesting 2 Brilliant 0 Confused

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