Resource Lesson
Summary: Graph Shapes for Uniformly Accelerated Motion
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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-time
s-t
velocity-time
v-t
acceleration-time
a-t
losing speed in a negative direction
position-time
s-t
velocity-time
v-t
acceleration-time
a-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-time
s-t
velocity-time
v-t
acceleration-time
a-t
gaining speed while traveling in a negative direction
position-time
s-t
velocity-time
v-t
acceleration-time
a-t
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PhysicsLAB
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