1. Speed, Distance, Time, Velocity Formulas
Quarter 1

2. Speed Comparison of time and distance Three ways to calculate speed:
Distance traveled per unit time
Three ways to calculate speed:
Average speed - Rate of motion calculated by dividing the distance traveled by the amount of time it takes to travel that distance
Constant speed - Speed that does not change
Instantaneous speed - Speed of an object at any given time

3. Calculating Speed Given Distance & Time
Divide Distance by Time
Distance ÷ Time = Speed
Speed = Distance ÷ Time

4. Calculating Distance Given Speed & Time
Multiply Speed and Time
Distance = Speed X Time
Speed X Time = Distance

5. Calculating Time Given Distance and Speed
Divide Distance by Time
Distance ÷ Speed = Time
Time = Distance ÷ Speed

6. Example 1 Speed = distance ÷ time Speed = 300km ÷ 6 hours
A car travels 300km in 6 hours. What is the speed of the car?
Speed = distance ÷ time
Speed = 300km ÷ 6 hours
Speed = 50km/hr

7. Example 2 How far can a plane travel if it flies 800km/hr for 9 hours?
Distance = Speed ▪ Time
D = 800km ▪ 9hrs hr
D = 7,200 km

8. Example 3
How long does it take a ship to go 500 km if it travels at a speed of 50km/hr?
Time = Distance ÷ Speed
T = 500 km ÷ 50 km/hr
T = 10 hr

9. Velocity

10. Velocity
Measures a change in position over a period of time AND in a certain direction
Uses the SAME formula as speed
Example 4: A plane traveling from Los Angeles to Atlanta is traveling 2000 miles in 4 hours, what is its velocity?

11. Velocity = Distance ÷ Time
Example 4
A plane traveling from Los Angeles to Atlanta is traveling 2000 miles in 4 hours, what is its velocity?
Velocity = Distance ÷ Time
V = 2000 mi ÷ 4 hours
V = 500 mph East

12. Distance-time graphs

13. Distance-Time Graph
Graph that represents the time it takes an object to go a specific distance (speed).
Time is ALWAYS on the x-axis
Distance is ALWAYS on the y-axis
Constant speed will be indicated with a horizontal line on a speed time graph.
Decreased speed is indicated when the line slants down.
Increased speed is indicated when the line slants up.

15. Interpret The Graph Below:

16. Interpret The Graph Below:
The graph shows an object which is not moving (at rest).
The distance stays the same as time goes by because it is not moving.

17. Interpret The Graph Below:

18. Interpret The Graph Below:
The graph shows that the objects distance increases as time passes. The object is moving and so it has velocity.
The straight line shows it is a constant (not changing).

19. Interpret The Graph Below:

20. Interpret The Graph Below:
Just like the previous graph, this graph shows an object moving with constant velocity

21. Interpret The Graph Below:

22. Interpret The Graph Below:
The curve in the graph shows that the objects velocity is changing as time passes.
This is acceleration.

23. Interpret The Graph Below:

24. Interpret The Graph Below:
In the first part of the graph the object is moving with constant velocity.
In the second part of the graph the object is at rest (not moving).
In the third part the object is again moving with constant velocity.

25. Interpret The Graph Below:

26. Interpret The Graph Below:
The graph shows that the objects velocity does not change as time passes.
It shows constant velocity.

27. Interpret The Graph Below:

28. Interpret The Graph Below:
The graph shows that the objects velocity is increasing as time passes – it is accelerating.
The straight line shows that it is constant acceleration.

29. Velocity-Time Graphs

30. Acceleration

31. Acceleration Measures the change in an object’s velocity over time
Units include a distance and a time squared
Ex: mi/hr2, m/s2

32. Types of Acceleration:
Same Direction of Motion AKA “Speeding Up”
+ =
A force is applied in the same direction causing the bike to speed up.

33. Types of Acceleration:
Opposite Direction of Motion AKA “Slowing Down”
+ =
A force is applied in the opposite direction causing the bike to slow down.

34. Types of Acceleration:
At angle to motion AKA “Turning”
+ =
A force is applied at an angle causing the bike to change direction. The speed may not change!

35. Calculating Acceleration
Must know:
Final velocity (speed)
Initial velocity (speed)
Time
A = velocity final – velocityinitial
time