1. The slope of a displacement-time graph represents the velocity.
The slope of a velocity-time graph represents the acceleration.
The area under a velocity-time graph represents the displacement to that point.
The area under an acceleration-time graph represents the velocity to that point.

2. Observe the animation of the three cars below
Observe the animation of the three cars below. Which car or cars (red, green, and/or blue) are undergoing an acceleration? Study each car individually in order to determine the answer.
                                               
                
Which car (red, green, or blue) experiences the greatest acceleration?

3.   
Consider the position-time graph at the right. Each one of the three lines on the position-time graph corresponds to the motion of one of the three cars. Match the appropriate line to the particular color of car.
B = Red
(constant velocity)
A = Blue
(acceleration with steeper tangents)
C = Green
(acceleration with less steep tangents)

4. Constant positive velocity
                                                 

5. Constant negative velocity

6. Constant positive acceleration
                                                  

7. Constant negative acceleration
                                                  

8. The passing lane
                                         

9.                                          
The passing lane

10. A blue car moving at a constant speed of 10 m/s passes a red car that is at rest. This occurs at a stoplight the moment that the light turns green. Velocity-time data for both cars are collected and plotted. The red car accelerates from rest at 4 m/s2 for three seconds and then maintains a constant speed. The blue car maintains a constant speed of 10 m/s for the entire 12 seconds.