1. Calculating and Graphing Speed

2. Distance, Time and Speed
Distance : the amount of space BETWEEN 2 objects; symbol = d
Time : an interval having a beginning and an end; symbol = t
Speed: the distance an object travels divided by the time it takes; symbol = v
Constant speed: the same distance is traveled every second or time interval

3. Calculating Speed
v = speed of an object d = distance traveled (m or km) t = time traveled (sec, min or hr) Units for Speed: m/sec -or- km/hr

4. Solve these problems
If a car travels 4.50 m in 2.58 seconds, what is its average speed?
Convert the speed in question #1 to miles per hour.
If a car travels 65 km at 23 km/hr, how long does it take?
A snake moves at 4.1 m/sec for 5.2 seconds. How far did the snake travel?

5. Challenge Question:
A pitch takes seconds to reach home plate. If the pitch is traveling at 98.5 miles per hour, what is the distance from the pitcher to home plate in feet?

7. The purpose of a graph is to show a RELATIONSHIP between 2 variables
Interpreting Graphs
The purpose of a graph is to show a RELATIONSHIP between 2 variables
Positive Relationships:
One variable increases, so does the other
Or one variable decreases, so does the other.
2. Negative or Inverse Relationships:
One variable increases, the other decreases
Or one variable decreases the other increases.

8. Positive Relationships

9. Negative Relationships

10. Line of Best Fit
Line of Best Fit: Straight line drawn through linear data.
The line does not necessarily connect the data points but is drawn through the majority of points, with an equal number of points above and below the line.

11. MOTION GRAPHS
Graphs dealing with motion will have the following variables on their X and Y axis:
Distance/Position
Time
Speed
Acceleration
Distance and time will be used to calculate speed and/or acceleration

12. Constant Speed
Position vs. Time graphs will have a straight line when the object is traveling at a constant speed. Slope = Speed

13. Changing Speed
A position vs. time graph will have a curve when the object is traveling at a changing speed, steepness of the curve will indicate just how fast object is changing speed.

15. Speed-Time Graphs for Acceleration
Rate of change in an object’s speed
Slope = Acceleration
When you plot speed vs. time, you now have the acceleration of an object.

16. Distance from Speed vs. Time Graph
Distance is equal to speed x time
The area of a graph represents speed x time
Therefore the area below the line of best fit is the distance traveled