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Vectors

bccalcclassact6bvectors

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Calculus
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Vectors
Vector Calculus
kinematics
Linear algebra
Classical mechanics
Euclidean vector
Acceleration
Position
Velocity
Vector-valued function
Vector
Classical central-force problem

Name:________________________ Date:________________________ AP Calculus BC Class Activity 6b: Vectors and Calculus Given the following vector functions for the position of a particle, find the velocity vector: Given the following vector functions for the position of a particle, find the acceleration vector: A particle moves in the plane so that its position at any time is given by Find the velocity and speed of the particle when . Is the particle moving to the left or to the right when . Use a calculator to draw the path of the particle. Draw this curve below. Also, draw in the velocity vector at . A particle moves in the plane so that its position function at any time is given by and . Find the velocity vector. Find

bccalcclassact6avectors

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Calculus
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Vectors
Vector Calculus
Linear algebra
Abstract algebra
Euclidean vector
Vector
Analytic geometry
Vector notation
Geometric algebra

Name:________________________ Date:________________________ AP Calculus BC Class Activity 6a: Vectors Given the following vectors: and : Find the vector: Find the vector: Find the direction (in radians) and magnitude of the following vectors: Given the following direction and magnitude, find a vector that represents it: , 12 2 rad, 6 Find a unit vector in the direction of . Find the angle between the vectors and . Find the magnitude of the vector between the vectors and .
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Vectores Scalars Review

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Physics
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Algebra
Mathematics
Linear algebra
Vectors
Abstract algebra
Vector Calculus
Classical mechanics
Euclidean vector
Net force
Dimensional analysis
Vector space
Velocity

Name _____________________ Date _____ Mr. Carcich CP Physics Vectors/Scalars Review Sheet You need to know: What is the difference between scalar and vector quantities? What are four examples of vector quantities? What are four examples of scalar quantities? How do we draw vectors? What does the length of the line represent? What does the direction of the arrow represent? How do we measure the angle of the vector? (From the resultant to the nearest x-axis, less than 90 degrees) When drawing vectors, why do we need to use a scale? What is a resultant vector?

Physics Vectors

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Physics
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Vectors

Chapter 3: Two Dimensional Motion and Vectors (Now the fun really starts) Opening Question I want to go to the library. How do I get there? Things I need to know: How far away is it? In what direction(s) do I need to go? One dimensional motion vs two dimensional motion One dimensional motion: Limited to moving in one dimension (i.e. back and forth or up and down) Two dimensional motion: Able to move in two dimensions (i.e. forward then left then back) Scalars and Vectors Scalar: A physical quantity that has magnitude but no direction Examples: Speed, Distance, Weight, Volume Vector: A physical quantity that has both magnitude and direction Examples: Velocity, Displacement, Acceleration Vectors are represented by symbols Book uses boldface type to indicate vectors

Vectors

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Physics
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Vectors

Chapter 3: Two Dimensional Motion and Vectors (Now the fun really starts) Opening Question I want to go to the library. How do I get there? Things I need to know: How far away is it? In what direction(s) do I need to go? One dimensional motion vs two dimensional motion One dimensional motion: Limited to moving in one dimension (i.e. back and forth or up and down) Two dimensional motion: Able to move in two dimensions (i.e. forward then left then back) Scalars and Vectors Scalar: A physical quantity that has magnitude but no direction Examples: Speed, Distance, Weight, Volume Vector: A physical quantity that has both magnitude and direction Examples: Velocity, Displacement, Acceleration Vectors are represented by symbols Book uses boldface type to indicate vectors

Equlibrants

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Physics
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AP Physics B
Equilibrants
Vectors

Equilibrants Example 1: There is a river with a current that has a velocity of 3 m/s in a direction of east. A man is trying to get straight across the river. His boat has a velocity of 4 m/s. What angle does he need to face the boat to move directly across the river? Explanation: We have 3 vectors in this problem: 1. The boat going straight across from point A to point B, which is the resultant. 2. The boat?s vector in calm water, which is the vector pointed at North West and has a magnitude 4 m/s. 3. The river?s current, which is 3 m/s going east. An object often looks like they are directed toward an angle, but they are actually going straight
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