Vector subtraction - PowerPoint PPT Presentation
Thomas Edison State College School of Applied Science and Technology
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Note: When you are subtracting a vector, SWAP the vector then ADD it.
A 0.4 kg basketball bounces off the ground. The ball’s speed the moment it hits the ground is 20 ms -1 . The ball’s speed the moment it leaves the ground is 20 ms -1 . Calculate the ball’s initial momentum Calculate the ball’s final momentum
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Do now
Do now. Vectors. In 1 dimension (1D) we can keep track of direction simply by using + or – signs. In 2 dimensions (2D) or more this is no longer sufficient. –. +. | | | | | |. Vectors. Recall, we have said that vectors have a magnitude and direction. i.e. 325 m east 18 m/s left
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Vectors vs. Scalars Pop Quiz: Which of these do you think are vector quantities?
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Vectors and Two-Dimensional Motion
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Properties of Vectors
Properties of Vectors. Equality of Two Vectors Two vectors are equal if they have the same magnitude and the same direction Movement of vectors in a diagram Any vector can be moved parallel to itself without being affected Relevant for vector algebra (like subtracting vectors).
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Vectors vs. Scalars Pop Quiz: Which of these do you think are vector quantities?
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Lecture 4. Today: Chapter 3 Introduce scalars and vectors Perform basic vector algebra (addition and subtraction) Interconvert between Cartesian & Polar coordinates. Finish. Start. q. q. 9.8 m. 9.8 m. An “interesting” 1D motion problem: A race.
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Vectors. You will be tested on your ability to: correctly express a vector as a magnitude and a direction break vectors into their components add and multiply vectors apply concepts of vectors to linear motion equations (ch. 2). Vector vs. Scalar.
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Lecture 4. Today: Ch. 3 (all) & Ch. 4 (start) Perform vector algebra (addition and subtraction) Interconvert between Cartesian and Polar coordinates Work with 2D motion Deconstruct motion into x & y or parallel & perpendicular Obtain velocities Obtain accelerations
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Using Vectors. Two Displacements. A hiker walks east from camp for 2.0 km, then northeast for 3.0 km. What is the final displacement of the hiker? Each individual displacement is a vector that can be represented by an arrow. 3.0 km. 2.0 km. The two vectors can be added graphically.
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Vectors
Vectors. You will be tested on your ability to: correctly express a vector as a magnitude and a direction break vectors into their components add and multiply vectors apply concepts of vectors to linear motion equations (ch. 2). Vector vs. Scalar.
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