# SC PHYS 201 - Vector Addition and Separation (3 pages)

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Lecture number:
4
Pages:
3
Type:
Lecture Note
School:
University Of South Carolina-Columbia
Course:
Phys 201 - General Physics I
Edition:
1
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PHYS 201 1st Edition Lecture 4 Outline of Last Lecture I Adding subtracting and multiplying vectors and graphical representations of vectors Outline of Current Lecture II Addition of Vector Velocities A One dimension B Two dimensions III Vector displacement IV Separating x and y A Applying x and y separation to equations Current Lecture Relative Velocity addition of velocities Vectors can be used to represent velocity where speed acts as the magnitude of the two vectors In this way we can add or subtract two velocities the same way that we add or subtract two vectors If both velocities are moving in the same direction if both velocities are positive or both are negative we simply add the two velocities together If the two velocities are moving in opposite directions making one velocity positive and one negative then we will subtract one velocity from another Example An escalator moves at a constant speed of 2m s If I walk up the moving escalator at a constant speed of 5m s what is my observed speed to someone standing still E 2m s M 5m s S E M S 2 5m s Suppose that on this same escalator I decided to walk at the same speed in the opposite direction that the escalator was moving In this case we would use subtraction because now vector M is negative S E M E 2m s M 5m s These notes represent a detailed interpretation of the professor s lecture GradeBuddy is best used as a supplement to your own notes not as a substitute S 1 5m s Vector addition in two dimensions If our velocities are not moving in either the same direction or in opposite directions then we solve for them in the same way that we would solve for vectors moving in similar directions We will plot them graphically then create a triangle and use trigonometry to solve Example I am rowing north at a constant speed of 2m s across a river that is flowing east at a constant speed of 10m s What is the angle of my velocity in relation to the shore and what is my speed S M R M 2m s R 10m s Because we only know the

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