two boat each move a velocity v relative to the water and both cross a river of breadth a running with uniform velocity V.they start together one boat crossing by shortest path and the otherin shortest time.find the difference between the time of arrival.
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Expert's answer
2020-04-23T18:58:28-0400
Shortest path
Relative Velocity of boat is in a direction at an angle θ with the vertical
vsinθ=V
cosθ=v2v2−V2
Time=speedDistance
t1=d/(vcosθ)
t1=v2−V2d
Shortest time
Relative velocity of boat is perpendicular to the velocity of river.
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