1. Motion

2. Motion
Motion is the change in positon of an object relative to a reference point
The position of an object is its location or placement in the universe.

3. Frame of Reference
System for specifying the exact position of objects in space and time.
We use the objects around us to determine where we are and how we are moving.
People with different frames of reference see different motion.

4. Frame of Reference

5. Distance vs. Displacement
Distance is how far an object travels.
Displacement is the object’s change in position.
These two are not always equal.
Write an example of how this could be true.

6. Distance vs. Displacement

7. Displacement Calculation
Δ is the Greek letter Delta. In science Δ means change.
If x stands for displacement, Δx means change in displacement.
Change in displacement equals the final position minus the initial position.
Δx = xf - xi

8. Distance travelled divided by the time it takes to travel. S = d/t
Speed
Distance travelled divided by the time it takes to travel. S = d/t
Standard unit is meters per second (m/s)
Instantaneous speed is the speed at any given moment of the path.
Average speed is the average of all instantaneous speeds in the entire path.

9. Speed of an object in a particular direction.
Velocity
Speed of an object in a particular direction.
Like speed it is measured in m/s.
Calculating average velocity uses the following equation:
vavg = (xf – xi)/(tf – ti)

10. Distance vs. Time Graph

11. Slope of the line tells the velocity of the object.
Distance vs. Time Graph
Slope of the line tells the velocity of the object.
Steeper slopes show faster velocity.
Linear graph shows constant velocity.
The sign on the slope can be interpreted as the direction of the velocity.

12. Acceleration Change in the velocity of an object
Measured in m/s/s or m/s2.
Acceleration can happen in three different ways:
Speeding up
Slowing down
Changing direction

13. Calculating Acceleration
Calculated using the following equation:
(vf – vi)/(tf – ti)

14. Velocity vs. Time Graph

15. Slope of the line tells the acceleration of the object.
Velocity vs. Time Graph
Slope of the line tells the acceleration of the object.
Steeper slopes show more drastic acceleration.
Linear graph shows constant acceleration.
The sign on the slope can be tell us if the object is speeding up or slowing down.

16. Vectors
Vectors are lines or arrows used to represent mathematical concepts (ex. Displacement, velocity, acceleration, force, etc.).
They have two properties:
Magnitude – size
Direction
These properties can be positive or negative.

17. Vectors

18. Comparing Vectors
Vectors are equal only when they have the same magnitude and direction.
Positives and negatives are determined by your frame of reference.
Ex. If you’re facing North, a North pointing vector would be positive and a South pointing vector would be negative.