SC.912.P.12.2 - Analyze the motion of an object in terms of its position, velocity, and acceleration (with respect to a frame of reference) as functions of time.
use kinematic equations to calculate an object’s position, velocity, and acceleration at a given time
qualitatively and quantitatively explore the relationships among position, velocity, and acceleration
use graphs to describe an object’s position, velocity, and acceleration as a function of time
interpret diagrams of motion in terms of the x and y components of position, velocity, and acceleration
use labeled diagrams, graphs of position, velocity, or acceleration versus time
acceleration
linear
distance
motion
position
displacement
time
velocity
What is the relationship between velocity and acceleration?
How is acceleration calculated?
How are the graphs of position versus time, speed versus time, and acceleration versus time related?
This is a good basic video.
The only thing to watch out for is the way he decomposes the second triangle. It works and, if it works for you, great. But there may be situations in which you will have to be careful about the signs of the x and y components.
This is a very short video that gives a simple conceptual look at vector components. In this video, the host uses unit vector notation, that is, the notation with i and j (such as <4,7>=4i+7j
ADDING TWO VECTORS
This is an example of how to add two vectors. In this instance...
You are given the magnitude and direction of two vectors.
You decompose them into x and y components.
You add the x's and y's to form the components of the new resultant vector, r.
Then, using your new <x,y>, you calculate the magnitude and direction of the resultant vectors.
Easy peasy lemon squeezy!