A boat travels down stream, then travels up stream

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The discussion centers on calculating the time required for a boat to complete a trip downstream and upstream, given that its velocity equals the water's velocity. The equation t=(2Dv)/(v^2-V^2) is referenced, but participants express confusion about the implications of equal velocities. It is emphasized that for a boat to travel upstream, its velocity must exceed the current's velocity. Participants also draw analogies to walking on a treadmill to illustrate the concept of relative speed. The conversation highlights the challenges of solving problems without specific numerical values.
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Homework Statement


What is the time needed to complete a trip if v = V.

Homework Equations


t=(2Dv)/v^2-V^2)

The Attempt at a Solution


I drew a diagram and tried plugging values in.
 

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Kingyou123 said:
What is the time needed to complete a trip if v = V.
Think about what this means.

Will a boat travel upstream if it's velocity is equal to that of the downstream water?
Have you ever walked on a treadmill? What speed must you walk at to stay on the treadmill?

Kingyou123 said:

The Attempt at a Solution


I drew a diagram and tried plugging values in.

And what was the result?
 
Terrible diagram but why don't you attempt am answer?
 
Kingyou123 said:

I drew a diagram and tried plugging values in.
That's not a helpful description of your calculations. Be more specific
 
billy_joule said:
Think about what this means.

Will a boat travel upstream if it's velocity is equal to that of the downstream water?
Have you ever walked on a treadmill? What speed must you walk at to stay on the treadmill?
And what was the result?
So the velocity of the boat has to be greater than the velocity of the current when rowing back. I made a force diagram with vectors. I always have problems with problems that don't give numbers... so would v<V?
 
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