1. Distance and Displacement Speed and Velocity Acceleration Momentum
Motion
Distance and Displacement
Speed and Velocity
Acceleration
Momentum

2. Ticket In Watch the video Define distance in your own words
Intro Video
Define distance in your own words
draw an example of distance
Define displacement in your own words
Draw an example

3. Distance Distance The length of a path between two points
SI Unit = Meters (m)
Large Distances = Kilometers (km)
Small Distances = Centimeters (cm)
1 000 m = 1 km
1 m = 100 cm
Example: Rollercoaster
Measure path car travels

4. Displacement Displacement The direction from the starting point AND
the length of a straight line from the starting point to the ending point
Used when giving directions (i.e. 15 blocks North)
Example: Rollercoaster
The direction from the starting point to the car
And
The length of the straight line from the starting point to the car
NOTE: after you complete your ride and the car is back in place, the displacement is ZERO!!!

5. Distance/Displacement Demo

6. Vectors Vector Displacement is an example of a vector
A quantity that has magnitude and direction
Magnitude = Size, length, or amount
Represented by arrows on a graph or map
Length of arrow = magnitude
Displacement is an example of a vector

7. Combining Displacements
Two displacements (represented by two vectors)
SAME DIRECTION
ADD MAGNITUDE
Two displacements (represented by two vectors)
OPPOSITE DIRECTION
SUBTRACT MAGNITUDE

8. Vector Addition & Subtraction
2 km
2 km
4 km
4 km
Start
Finish
Start
Finish
4 km + 2 km = 6 km
4 km - 2 km = 2 km
Vector Addition & Subtraction

9. Sample Problems

10. Resultant Vectors Displacement that isn’t along a straight path
The vector sum of 2 or more vectors
Points directly from start to finish
Used when 2 or more displacement vectors have different directions
Vector Addition Simulator

11. Ticket Out Combining Displacements
Make up your own vector addition problem
Make up your own vector subtraction problem

12. Ticket In Using Analogies Problem solving
Is displacement more like the length of a rope that is pulled tight or the length of a coiled rope?
Problem solving
Should your directions to a friend for traveling from one city to another include displacements or distances?
Explain

14. Draw your own diagram for the following situations. Then, find the
distance (Dist) and label the displacement (Displ) each person moves. Record your answers on your paper.
1. John flies directly east for 20 km, then turns to the north and flies for
another 10 km before dodging a flock of geese.
2. Cameron flies directly west for 13 km, then turns to the south and
flies for another 30 km. He then flies east for 13 km before landing at
the airport.
3. Marissa runs north for 37 meters, then turns east and runs for
another 10 meters, then stops.
4. Alex walks east for 3 km, stops for a break, and then runs the same
direction for 4 km before he stops.
5. Taylor rides her bicycle 20 km north, turns around, and then
rides the bicycle 15 km back toward her starting point.

15. Speed
The ratio of the distance an object moves to the amount of time the object moves
SI unit = meters per second (m/s)
Example:
Roller Blader travels 2 m/s
Car 80 km/hr
Expressed two ways
Average
Instantaneous

16. Average vs Instantaneous Speed
Computed for the ENTIRE duration of a trip
Total distance traveled (d) / time (t)
Lets you know how long a trip will take
Instantaneous
Measured at a PARTICULAR instant
The rate at which an object is moving at a given point in time
EX car speedometer
Tells you how fast you are going that instant

17. Speed Records
According to the Guinness World Records the fastest human sprinter is Usain Bolt, who set a record of seconds in the 2012 Olympics finals.
In 2009, Sam Whittingham broke his own record again for a human powered cyclist speed of MPH!
In 2010, Barbara Buatois broke her own record, with a women's human powered cyclist speed of MPH.
In 2011, Greg Westlake broke his own record with an arm powered cyclist world speed record of MPH.

18. Ticket Out
A car travels 85 km from town A to Town B, then 45 km from Town B to town C. The total trip took 1.5 hours. What was the average speed of the car?

19. Ticket In
Explain your own words the difference between instantaneous speed and average speed
Describe an Example of each

20. Graphing Motion Distance- time graph
Slope = change in distance/change in time (m/s)
Speed!
Distance- m
Distance- m
Time (seconds)
Time (seconds)

21. Average Velocity A description of BOTH speed and direction of motion
Velocity is a vector quantity that refers to "the rate at which an object changes its position.”
Results of changes in velocity
Change in Speed
Change in direction
Change in both

22. Velocity
Imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. While this might result in a frenzy of activity, it would result in a zero velocity. Because the person always returns to the original position, the motion would never result in a change in position. Since velocity is defined as the rate at which the position changes, this motion results in zero velocity.
If a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. Every step must go into moving that person further from where he or she started. For certain, the person should never change directions and begin to return to the starting position.

23. Constant Velocity Moving with uniform motion
pv.cfm

24. Ticket Out What does velocity describe?
What shows the speed on a distance-time graph?