Physics 231
General University Physics
Spring 2007
Lecture 7
Today
Motions in Two Dimensions
More Projectile Motion
Circular Motion
Tangential and Radial Acceleration
Relative Motion
postponed to dynamics
Acceleration from Change in
Velocity
Equations for Projectile Motion
Consider the motion as the superposition of
the motions in the
x
- and
y
-directions
The
x
-direction has constant velocity
a
x
= 0
The y-direction is free fall
a
y
= -
g
The actual position at any time is given by:
r
f
=
r
i
+
v
i
t
+ ½
g
t
2
x
f
=
v
xi
t
= (
v
i
cos
θ
)
t
y
f
=
v
yi
t
+ ½
a
y
t
2
= (
v
i
sin
θ
)
t
- ½
gt
2
ˆ
(g =
j)
g
−
Projectile Motion Diagram
Projection Motion Diagram

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