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- Thread starter Rhine720
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In the boat example the velocity of the river has absolutely no effect on the velocity of the boat since the boat is traveling in a direction perpendicular to the current hence the vectors do not add or subtract to each other. So yeah you could make a triangle out of these velocity vectors and make the velocity of the boat and river the opposite and adjacent sides (component vectors) and the hypotenuse would be larger because the distance traversed in the south west direction (of your example) would be greatest.

Sorry if thats a crap explanation thats the first physics question I've ever answered on this forum.

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In the case of travelling at 15 m/s at an angle 30 degrees "north" of the "east" axis, the components of the velocity vector would be 15m/s*sin(30

In your example wit the boat, if we assume that the boat travels with the water, then the velocity of the water can be added to the velocity of the boat with respect to the water to get the total velocity of the boat.

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In the case of travelling at 15 m/s at an angle 30 degrees "north" of the "east" axis, the components of the velocity vector would be 15m/s*sin(30^{o})=7.5m/s along the "north" axis and 15m/s*cos(30^{o})=12.99m/s along the "east" axis.

In your example wit the boat, if we assume that the boat travels with the water, then the velocity of the water can be added to the velocity of the boat with respect to the water to get the total velocity of the boat.

So I was correct? It didn't travel with it. They were perpendiculer to one another..

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Heres a diagram

http://img19.imageshack.us/img19/6586/diagramqq.jpg [Broken]

in that picture the boats traveling north from one side of the river to the other at 2m/s. This is the y component.

The rivers current is dragging the boat West down river at 3m/s. x component.

The overall vector represents the velocity of the boat moving in that North West direction and its velocity is obviously greater than either of the components because its a combination of speed the boats traveling at by itself and the added speed the rivers current gives the boat.

http://img19.imageshack.us/img19/6586/diagramqq.jpg [Broken]

in that picture the boats traveling north from one side of the river to the other at 2m/s. This is the y component.

The rivers current is dragging the boat West down river at 3m/s. x component.

The overall vector represents the velocity of the boat moving in that North West direction and its velocity is obviously greater than either of the components because its a combination of speed the boats traveling at by itself and the added speed the rivers current gives the boat.

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If either v

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