A boat travels down stream, then travels up stream

In summary, the time needed to complete a trip when the velocity of the boat is equal to the velocity of the downstream water is given by t=(2Dv)/v^2-V^2), and the boat will not be able to travel upstream with the same velocity as the downstream water. The speed at which someone must walk on a treadmill to stay on it is equal to the speed of the treadmill.
  • #1
Kingyou123
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0

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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  • #2
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?
 
  • #3
Terrible diagram but why don't you attempt am answer?
 
  • #4
Kingyou123 said:

I drew a diagram and tried plugging values in.
That's not a helpful description of your calculations. Be more specific
 
  • #5
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?
 
Last edited:

1. How does the speed of a boat change when traveling downstream compared to upstream?

When a boat travels downstream, it is moving in the same direction as the current of the water, which helps to increase its speed. However, when traveling upstream, the boat is moving against the current, which slows it down.

2. What factors affect the speed of a boat when traveling downstream and upstream?

The speed of a boat traveling downstream is affected by the speed of the current, the power of the boat's engine, and the direction and strength of the wind. When traveling upstream, the speed is affected by the strength of the current, the power of the boat's engine, and any obstacles in the water.

3. Why does a boat use more fuel when traveling upstream compared to downstream?

When a boat travels upstream, it is moving against the current, which requires more power from the engine. This increased power consumption leads to a higher fuel consumption compared to traveling downstream, where the boat is aided by the current and requires less power.

4. How does the distance traveled by a boat change when traveling downstream and upstream?

The distance traveled by a boat traveling downstream will be greater compared to traveling upstream, as the boat is aided by the current and moves faster. When traveling upstream, the boat moves slower and may also have to navigate obstacles, resulting in a shorter distance traveled.

5. How does the time it takes a boat to travel a certain distance change when traveling downstream and upstream?

The time it takes a boat to travel a certain distance will be shorter when traveling downstream compared to upstream. This is because the boat is moving faster with the current when traveling downstream, while it moves slower against the current when traveling upstream.

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