Resource Lesson Summary: Graph Shapes for Uniformly Accelerated Motion
Notice that graph combinations having a positive acceleration have the following properties:
• their position-time graphs are the "sides" of a parabola that "opens up"
• their velocity-time graphs have a positive slope
• their descriptions obey the rules for multiplying signed numbers:
→ gaining speed (+) x positive direction (+) = positive
→ losing speed (-) x negative direction (-) = positive

 gaining speed in a positive direction position-times-t velocity-timev-t acceleration-timea-t

 losing speed in a negative direction position-times-t velocity-timev-t acceleration-timea-t

Notice that graph combinations having a negative acceleration have the following properties:
• their position-time graphs are the "sides" of a parabola that "opens down"
• their velocity-time graphs have a negative slope
• their descriptions obey the rules for multiplying signed numbers:
→ losing speed (-) x positive direction (+) = negative
→ gaining speed (+) x negative direction (-) = negative

 losing speed while traveling in a positive direction position-times-t velocity-timev-t acceleration-timea-t

 gaining speed while traveling in a negative direction position-times-t velocity-timev-t acceleration-timea-t