Velocity and Speed: Diagrams for Rowing Downstream and Southeastward

The boat's velocity relative to the shore is the vector sum of the boat's velocity relative to the water and the water's velocity relative to the shore.In summary, a boat is placed in a river with a current velocity of 3.0 km/h east. The rower can maintain a boat speed of 6.0 km/h relative to the river. To find the boat's velocity relative to the shore when rowing downstream, a diagram can be used with the boat's velocity and the current's velocity. For the direction of the boat's velocity relative to the shore to be southeastward, the boat's velocity relative to the water and the water's velocity relative to the shore must be added together.
  • #1
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Homework Statement



A boat is placed in a river, which has a current velocity, Vc of 3.0 km/h east, relative to the shore. Relative to the river, the rower can maintain a boat speed, Vb of 6.0 km/h.
A) Draw a diagram that could be used to find the boat's velocity relative to the shore if the boat is being rowed downstream.
B) Draw a diagram where the direction of the boats velocity is relative to the shore southeastward.

Homework Equations



None.

The Attempt at a Solution


A) I have a line going straight down, Vb and a 90 degree turn to the right, Vc.
B) I know it's not right, but the same as above is what I thought.
 
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  • #2
Neither of your answers are correct.

If the boat is being rowed down stream, that means the boats velocity relative to the water is in the same direction that the river is flowing. And "East" is usually the direction to the right on the page. Southeast will be in a 45 degree diagonal direction down-and-to-the-right.
 

Related to Velocity and Speed: Diagrams for Rowing Downstream and Southeastward

1. What is the difference between velocity and speed?

Velocity and speed are often used interchangeably, but they actually have different meanings. Speed is the measure of how fast an object is moving, while velocity is the measure of how fast an object is moving in a specific direction.

2. How is velocity and speed calculated in rowing downstream and southeastward?

In rowing downstream and southeastward, velocity and speed are calculated using the same formula: distance divided by time. However, it is important to note that the distance and time should be measured in the direction of the current for downstream rowing and in the southeast direction for southeastward rowing.

3. Why are diagrams used to represent velocity and speed in rowing?

Diagrams are used to represent velocity and speed in rowing because they provide a visual representation of the relationship between distance, time, and direction. They also make it easier to understand and analyze the changes in velocity and speed throughout the rowing process.

4. How does the current affect velocity and speed in rowing downstream and southeastward?

The current has a significant impact on velocity and speed in rowing downstream and southeastward. When rowing downstream, the current adds to the velocity and speed, making the rowing process faster. On the other hand, when rowing southeastward, the current may either add to or subtract from the velocity and speed, depending on its direction and strength.

5. Can velocity and speed in rowing downstream and southeastward be equal?

Yes, it is possible for the velocity and speed in rowing downstream and southeastward to be equal. This occurs when the rowing speed is equal to the speed of the current. In this case, the rowers will not feel any resistance from the water, making the rowing process easier and more efficient.

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