Graphing Distance and Time 12.3

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Presentation transcript:

Graphing Distance and Time 12.3 Remember! We can relate two variables to each other using a graph. X and Y are directly related if they make a straight line.

Graphing Distance and Time 12.3 Distance-Time Graph Distance Then! T i m e When we use ( x = time ) and ( y = distance ), Our slope is now a measure of our speed!

Graphing Constant Speed (12.3) Constant speed is represented as a straight line on a distance-time graph. The slope gives us vav

Points above line = Points below line Line of Best Fit (12.3) Distance-Time Graph Our data points won’t always give us a perfectly straight line If we graph the information and there is no easy straight line we must use the Line of Best Fit We draw the line as an average of the data. There should be as many points below the line as there are points above it. Points above line = Points below line

Example of Line of Best Fit Average Speed for total ride Average speed after 3 seconds

Increasing and Decreasing Speed When an object is increasing its speed, it is increasing the Δd travelled every second. The speed is NOT constant, speed is increasing. The object is speeding up. When an object is decreasing its speed, it is decreasing the Δd travelled every second. The speed is NOT constant, speed is decreasing. The object is slowing down.

Object at Rest If an object is not moving we say that object is at rest. An object at rest has no change in distance. Time will still continue to pass but the distance will not change.

Board Examples using Mr. Zepf’s Amazing Artistic Skills Instantaneous Speed Board Examples using Mr. Zepf’s Amazing Artistic Skills