position 28 videos

Position, Velocity and Acceleration
Calculus Antiderivatives and Differential Equations
How to solve position, velocity and acceleration problems using differentiation equations.
differential equations derivatives position velocity acceleration 
Introduction to the 3D Coordinate System
Precalculus Vectors and Parametric Equations
How to define the components and length of a position vector in three dimensions.
axes coordinates position vector components magnitude length distance origin 
Mechanical Energy
Physics Energy and Momentum
Understanding and recognizing mechanical energy.
mechanical energy position movement 
Algebraic Representation of Vectors
Precalculus Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
position vector vector components horizontal component vertical component component form magnitude length 
Motion Along a Line
Precalculus Vectors and Parametric Equations
How to write equations describing motion in a straight line given the velocity and the position when t=0.
velocity constant velocity position vector equation of a line parametric equations parametric equations of a line 
Average Velocity
Calculus The Derivative
How to compute the average velocity of an object moving in one dimension.
average velocity position height time change in position change in time 
Multiplication and Division
PreAlgebra Integers
Learn how to multiply and divide positive and negative numbers.

Homeostasis
Biology Cell Functions and Processes
The definition and importance of homeostasis.
homeostasis equilibrium negative feedback positive feedback 
The Angle Between Vectors
Precalculus Vectors and Parametric Equations
How to compute the angle between two vectors.
dot product angle between vectors position vectors 
Scatterplots and Correlations
Algebra Introduction to Statistics
How to identify positive correlations, negative correlations, or no correlation between two variables.
scatterplot correlation trend line line of best fit 
Applications
PreAlgebra Integers
Real word situations that involve operations on positive and negative numbers

Instantaneous Velocity
Calculus The Derivative
How to estimate the instantaneous velocity of an object at t=2 by computing average velocities over shorter and shorter intervals of time.
average velocity instantaneous velocity change in position change in time limits 
Evaluating Sine and Cosine at Special Acute Angles
Trigonometry Trigonometric Functions
How do we measure sine and cosine of pi/4?
sine cosine unit circle definitions of sine and cosine angles in standard position 
Evaluating Sine and Cosine at Special Acute Angles
Precalculus Trigonometric Functions
How do we measure sine and cosine of pi/4?
sine cosine unit circle definitions of sine and cosine angles in standard position 
Lines in 3D
Precalculus Vectors and Parametric Equations
How to find the vector and parametric equations of a line when given two points on the line.
the vector equation of a line position vectors direction vector parametric equations 
Vectors and Planes
Precalculus Vectors and Parametric Equations
How to find a vector normal (perpendicular) to a plane given an equation for the plane.
normal vector position vector perpendicular vectors planes the equation of a plane 
Optimization Using the Second Derivative Test
Calculus Applications of the Derivative
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.

The Definitions of Sine and Cosine
Trigonometry Trigonometric Functions
How we define sine and cosine for all angle measures using the unit circle.
sine cosine right triangle definitions of sine and cosine angles in standard position unit circle definitions of sine and cosine