10/16/09
Oregon State University PH 201, Lecture #9
2Dimensional Motion (with Constant Acceleration)
The four equations of kinematics help us describe and calculate the
motion of any object undergoing constant acceleration (including
zero acceleration) with respect to any single axis.
But what if that object is moving relative to two axes at once?
The vector nature of displacement, velocity and acceleration let us
calculate the x and y motions separately.
For the motion along each axis, we use the respective vector
components (
±
x
,
v
x.i
,
v
x.f
, and
a
x
or
±
y
,
v
y.i
,
v
y.f
, and
a
y
).
The one consistent connection between the two parts of the motion is
time
:
We’re talking about one object, so the same time interval,
±
t
,
applies to both
x
 and
y
 motions.
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10/16/09
Oregon State University PH 201, Lecture #9
xmotion
ymotion
v
x.f
=
v
x.i
+
a
x
(
±
t
)
v
y.f
=
v
y.i
+
a
y
(
±
t
)
±
x
= (
1
/
2
)(
v
x.i
+
v
x.f
)
±
t
±
y
= (
1
/
2
)(
v
y.i
+
v
y.f
)
±
t
±
x
=
v
x.i
(
±
t
)+(
1
/
2
)
a
x
(
±
t
)
2
±
y
=
v
y.i
(
±
t
)+(
1
/
2
)
a
y
(
±
t
)
2
v
x.f
2
=
v
x.i
2
+2
a
x
(
±
x
)
v
y.f
2
=
v
y.i
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 Fall '08
 Staff
 Physics, Acceleration, Velocity, State University PH, Oregon State University PH

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