Finding Velocity given x and y velocities

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MrMiguel
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1. How do you find the velocity of an object if you are given the x and y components of the velocity?



2. Not sure!



3. It makes the most sense to use the Pythagorean Theorem to find the magnitude then trig to find the angle, but I've got a classmate telling me you simply add together the x and y components. Which is it?
 
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you are right to use the pythagorean theroem. That gives you the velocity.
 
You and your classmate are both (kind of) right. How do you add vector components?