Chapter 2
Kinematics: The mathematics of Motion
This denotes positive and negative values on a graph.
Interpreting position/time graphs
When the values are positive they indicate distance to the right of the origin
When the values are negative they indicate distance to the left of the origin
When the values are zero they indicate the object is at the origin
When the we have a flat line (slope = 0) this indicate the objects position with respect to
origin is not changing hence it is stationary
The slope of a position/time graph indicates velocity at that point.
A straight line indicates constant/uniform velocity as from t (min) from 030 we see that
the slope of that line is the velocity from t=030 (there will be a flat line on the v/t graph)
motion)
(uniform
run
rise
t
v
s
s
t
t
s
s
t
s
v
s
i
f
i
f
i
f
s
∆
+
=


∆
∆
=
=
=
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t
0
(instantaneous velocity)
lim
s
s
ds
v
t
dt
∆ →
∆
≡
=
∆
To find the instantaneous velocity at a time (t) we take the limit as change in t approaches
zero. For the s/t graph
As we zoom in the curve becomes a line and the instantaneous velocity is found.
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 Summer '07
 JohnEvans
 Derivative, 6 m, 8 m, 2 m, 3 m/s

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