Thursday

April 17, 2014

April 17, 2014

Posted by **Anonymous** on Sunday, October 4, 2009 at 1:03pm.

Find the magnitude of the velocity vector v of the canoe relative to the river.

Express your answer in meters per second.

- Physics -
**MathMate**, Sunday, October 4, 2009 at 2:43pmDraw the triangle of vectors, ABC, where

AB represents the river velocity, 0.6 m/s due east, BC is the canoe velocity, 0.49 m/s due south-east.

You are looking for the resultant vector AC.

You can solve this by the law of cosines, which is

AC²=AB²+BC²-2AB.BC.cos(135°)

or by summing components along the x- and y-axes (East and north).

Resultant:

x-component=0.6+0.49cos(-45°) m/s

y-component=0.49sin(-45°) m/s

tan(θ)=y-component/x-component

**Related Questions**

physics - A canoe has a velocity of 0.490 southeast relative to the earth. The ...

physics - A canoe has a velocity of 0.39 southeast relative to the earth. The ...

Physics - A canoe has a velocity of 0.410m/s southeast relative to the earth. ...

Physics - A canoe has a velocity of 0.400 southeast relative to the earth. The ...

physics - A canoe has velocity of 0.40m/s southwest relative to earth.the canoe ...

Physics - Problem 2- A boat has a velocity of 0.54 m/s southeast relative to the...

Physics - A 9.6 kg dog takes a nap in a canoe and wakes up to find the canoe has...

Physics - A 9.6 kg dog takes a nap in a canoe and wakes up to find the canoe has...

Physics - A 8.5 dog takes a nap in a canoe and wakes up to find the canoe has ...

PHYSICS - PLEASE HELP - A 9.6 kg dog takes a nap in a canoe and wakes up to find...