1. QQ: Show Work!
Jonathon runs 4.0 km in 32 minutes, then 2.0 km in 22 minutes, and finally 1.0 km in 16 minutes. What is his average speed in km per minute?
A train travels 190 km in 3 hours and then 120 km in 2 hours. What is its average speed?
Jose drove 85 km from Town A to Town B, then 45 km Town B to Town C. The trip took 1.5 hours. What was the average speed?

2. Today’s objective: I can calculate average speed, velocity, and acceleration using data, examples, and graphs.

3. Speed, velocity, and acceleration…
are they basically
the same thing?

4. What’s happening here?
Frame of reference video hyperlink

5. Is it possible to slide a pencil through both of these frames at the same time?

7. Frame of Reference:
The point which movement is measured from considering the objects around it.

8. Speed: The average rate of travel in a given period of time.
Usually written in relation to 1 period of time for example:
16 mph or 3 m/s feet/min

9. The exact speed a vehicle is traveling at a specific time.
Instantaneous Speed:
The exact speed a vehicle is traveling at a specific time.

11. Hayle & Yesenia went to the beach during break. They left MHS at noon
Hayle & Yesenia went to the beach during break. They left MHS at noon. After driving 124 km they stopped in Wilmington to eat at 1:30pm. They got back on the road at 2:30 and drove 120 km. They got to their hotel at 4:00pm. What was the average speed they traveled?

12. What factors affect the average speed?
Does that mean that every time they looked at the speedometer is showed that speed?
What factors affect the average speed?

13. The slope is the average speed
Graph of speed:
The slope is the average speed
position
time

14. Average speed:
8 – 4 4 2
= 2 m/s
4 - 2

15. Because it has the steepest slope
Which has the
highest average speed?
Because it has the steepest slope

16. This is a graph of Luis on his motorcycle. Describe his movement here:

17. Dylan’s parents put a gps devise in his car
Dylan’s parents put a gps devise in his car. Where is he not moving at all?

18. Where is he moving
the fastest?

19. Where is he moving
the slowest?

20. Vector:
Shows direction
and magnitude.

21. Velocity:
Describes both
Speed AND direction
VECTOR

22. Velocity:
V = velocity
D = distance
T = time

23. Rate that velocity changes over time
What is Acceleration?
Rate that velocity changes over time
Vf final
velocity
Vi initial
velocity
T is time

24. m/h/s m/s/s m/s2 Acceleration: Changes in speed, direction, or both
Unit of measurement:
m/h/s
m/s/s
m/s2
Vector

25. Constant Acceleration Linear: straight line – no changes in speed
Velocity
time
Linear: straight line – no changes in speed

26. Increasing acceleration:
Greater slope = faster acceleration

27. Negative Acceleration
Deceleration: Slowing down or a negative slope
Negative Slope
Also known as
Negative Acceleration

29. A ball rolls down a ramp, starting from rest
A ball rolls down a ramp, starting from rest. After 2 seconds, its velocity is 6 m/s. What is the acceleration of the ball?
6 m/s
0 m/s 2s
M/s2

30. Draw a dot at the intersection of 2 lines near the bottom edge of the graph paper on your desk. Label it “Start.”
Draw a 2nd dot near the top of the paper. Label it “End.”
Draw a path from the start to the stop point. Any route is ok as long as it doesn’t go off the grid lines
4. Determine the total length of your path. Each segment is 1 cm.

31. Vector addition & subtraction: Add the values together
3m/s 5 m/s m/s
Same direction:
Add the values together

32. Add like negative numbers
5m/s m/s m/s
Opposite directions:
Add like negative numbers

33. Distance:
The length of the path
between two points.

34. SI unit: Meter
Football Field: m

35. Length of Mississippi:
1000 m = 1 km
Or 3780 km

36. Distance a marble can roll
1m = 100 cm
Or 6 cm

37. Back to the graph…

38. The straight line drawn
Displacement:
The straight line drawn
between 2 points.

39. Observing:
Which is the shorter distance, your first path or the second one?
End
Start

40. Evaluating and Revising: your original distance shorter?
End
Start
Evaluating and Revising:
How could you have made
your original distance shorter?

41. End
Start
Inferring:
If you keep the start and end points the same, would it be possible to make the displacement shorter?

42. starting point to the ending point
Displacement:
The distance from the
starting point to the ending point

43. Vector addition & subtraction: Determines displacement
8km
5km
8km + 5km = 13km

44. Vector addition & subtraction: Determines displacement
9km
14km
5km
14km -5km = 9km

45. Resultant Vector:
The result of adding
two vectors

46. 1. Find the speed of the green bus at 1 hour.
Use the graph below to answer the questions. Be sure to show all work.
1. Find the speed of the green bus at 1 hour.
2. Find the speed
of the red bus at 3 hours.
3. How far will the green bus travel in 8 hours?