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Comparing Velocity and Acceleration
VELOCITY
ACCELERATION
displacement
elapsed time
ave
x
v
t
∆
==
∆
change in velocity
elapsed time
ave
v
a
t
∆
∆
()
dx t
v
dt
=
dv t
a
dt
=
Rate of change of position with respect to time.
Rate of change of velocity with respect to time.
Slope of tangent line to a
x vs.t
curve.
Slope of tangent line to a
v vs.t
curve.
When v = constant,
x vs. t
curve is a straight line.
When a = constant,
v vs. t
curve is a straight line.
In a
v vs. t
graph, the area between the curve and
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 Spring '11
 Luna
 Acceleration

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