Canoeing: Speed Relative to Water and Shore

In summary, the conversation is about two canoeists paddling at the same speed in different directions, with an observer on shore determining their velocities to be -1.3 m/s and 2.9 m/s. The question asks for the speed of the water relative to shore and the speed of the two canoes relative to the water. The person asking for help has already solved for the speed of the water relative to shore but is unsure how to find the speeds of the canoes. They are seeking guidance on how to approach the problem.
  • #1
Breaststroke2
3
0
I'm having trouble with this can anyone help me?
Two canoeists in identical canoes exert the same effort paddling and hence maintain the same speed relative to the water. One paddles directly upstream (and moves upstream),
whereas the other paddles directly down-stream. With downstream as the positive
direction, an observer on shore determines the velocities of the two canoes to be −1.3 m/s
and 2.9 m/s, respectively.
What is the speed of the water relative toshore? Answer in units of m/s.

What is the speed of the first canoe relativeto the water? Answer in units of m/s.

What is the speed of the second canoe relative to the water? Answer in units of m/s.
 
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  • #2
Sounds like homework to me.

Have you drawn any diagrams? Made any attempt at the problem?
 
  • #3
i got the speed of the water relative to the shore by adding the two numbers together and then divided by two to get the speed relative to the shore.
what i don't understand is how you figure out the speeds of the canoes
 
  • #4
would i subract the speed of the water from the velocities given in the original equation?
 

1) How does paddling speed affect a canoe's movement relative to the water and shore?

Paddling speed is a crucial factor in determining a canoe's movement relative to the water and shore. The faster you paddle, the faster the canoe will move through the water and towards the shore. Conversely, slower paddling speed will result in slower movement through the water and towards the shore.

2) What role does the wind play in a canoe's speed relative to the water and shore?

The wind can greatly impact a canoe's speed relative to the water and shore. If the wind is blowing in the same direction as the canoe's movement, it can provide a helpful boost in speed. However, if the wind is blowing against the canoe's movement, it can create resistance and slow down the canoe's speed.

3) How does the shape and weight of a canoe affect its speed relative to the water and shore?

The shape and weight of a canoe can significantly impact its speed relative to the water and shore. A more streamlined and lightweight canoe will typically be faster than a bulkier and heavier canoe. This is because a streamlined shape reduces resistance and weight allows for easier maneuvering and acceleration.

4) Does the type of paddle used affect a canoe's speed relative to the water and shore?

Yes, the type of paddle used can have an impact on a canoe's speed relative to the water and shore. A longer and narrower paddle will allow for a longer stroke and more efficient propulsion, resulting in faster speeds. However, the paddler's technique and strength also play a significant role in determining the speed of the canoe.

5) What factors should be considered when trying to achieve maximum speed in a canoe?

To achieve maximum speed in a canoe, several factors should be considered. These include paddling technique, paddling speed, wind direction and strength, shape and weight of the canoe, and the type of paddle used. It is also essential to consider the distance and duration of the canoe trip, as well as any potential obstacles or hazards in the water that may affect speed.

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