Particle Motion Review
What is average velocity?
Average rate of change of the position function
What is average acceleration?
Average rate of change of the velocity function
What is displacement?
Change of position over time
How do you find the particles greatest speed?
Find the highest y value of the absolute value of the velocity graph
How do you find the total distance traveled over a given time?
Make a chart up to the given time and find the difference of the y values, then add those numbers together
How do you describe the motion of a particle over a given time?
Make a table of the velocity function up to the given time and then determine over what values the particle moves left, right, or still
How do you graph the speed graph?
Move all parts of the function that are below the x axis so that they are flipped above
How do you find acceleration over a given time
Plug in the given time into the acceleration equation
How do you find the velocity after a given time?
Plug the given time into the velocity function
Velocity is the derivative of what?
Position
How do you find the displacement over a given time?
Set the position equation equal to 0 and equal to the given time, then subtract the two
How do you find when the particle is at rest?
Set the velocity function equal to 0 and solve
What is the absolute value of velocity?
Speed
What is the total distance traveled
Sum of all the movements of and object over time
When velocity equals 0?
The object is at rest or changing direction
Acceleration is the derivative of what?
Velocity
When an object is moving left?
Velocity is negative
When an object is moving right?
Velocity is positive
When does a particle move at its greatest speed?
When the slope is the greatest
When is the particles acceleration 0
When the slope of the velocity equation is 0
When is the particles acceleration negative?
When the slope of the velocity function is negative
When is a particles acceleration positive?
When the slope of the velocity function is positve
When is the particle at rest?
When the velocity equation crosses the x axis
When is a particle moving forward?
When the y value is positive on the velocity function
When does the particle move backward?
When the y value of the velocity function is negative