1. Graphs of Linear Motion

2. Constant Speed a vs. t
Constant speed means that there is no acceleration so the graph a vs. t is a horizontal line at 0.

3. Constant Speed v vs. t
The speed is constant so the graph is a horizontal line. Notice that the slope of this line is 0, which equals the acceleration.

4. Constant Speed d vs. t
The graph of d vs. t for constant speed is a straight line with a positive slope. The slope of this line will equal the speed.

5. Positive Acceleration a vs. t
Constant acceleration will always be graphed as a horizontal line.

6. Positive Acceleration v vs. t
A straight line with positive slope. The slope of this line equals the acceleration.

7. Slope

8. Area Under the Curve A=½(at)(t) Vi A=Vit t
The area under a speed vs. time curve will equal the distance. The area under an acceleration vs. time graph will equal the speed. In calculus this is known as an integral.
A=Vit t

9. Positive Acceleration d vs. t
A parabola curving upward.

10. Tangent Slope
A tangent intersects the curve at one and only one point. The slope of this tangent line on a d vs t graph will equal the instantaneous speed. The slope of this tangent line on a v vs t graph will equal the instantaneous acceleration. In calculus this is known as a derivative.

11. Negative Acceleration a vs. t
Similar to the positive acceleration graph except a negative horizontal line.

12. Negative Acceleration v vs. t
A straight line with a negative slope. The slope of the v vs. t graph equals the acceleration.

13. Negative Acceleration d vs. t
A parabola curving downward. The tangent slope at any point will equal the speed.