Finding Velocity given x and y velocities

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To find the velocity of an object given its x and y components, the Pythagorean Theorem is used to calculate the magnitude of the velocity. This involves taking the square root of the sum of the squares of the x and y components. Additionally, trigonometric functions can determine the angle of the resultant velocity. While some may suggest simply adding the x and y components, this approach is not correct for calculating the overall velocity. Understanding vector addition is crucial for accurate results in physics.
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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?
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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