Motion in 2 Dimensions
First a Quick Review of Vectors and Scalars
•A
scalar
is completely specified by a single number
vector
has both magnitude and direction
in 2 dimensions it is represented by 2 numbers:
(a) magnitude and angle
or
(b) 2 components {for example x and y}
Phy 2053 Chapter sections
3.3 to 3.5
Thursday, Sept. 6, 2007
Motion in Two Dimensions
• Using + or – signs is not always sufficient
to fully describe motion in more than one
dimension
– Vectors can be used to more fully describe
motion
• Still interested in displacement, velocity,
and acceleration
Displacement, Velocity, and Acceleration
• The position of an object is
described by its position
vector,
• The
displacement
of the
object is defined as the
•
change in its position
(meter)
•
Velocity
(meter/sec)
•
Acceleration
(meter/sec
2
)
r
r
fi
∆= −
rr r
∆
≡
∆
av
t
r
v
∆
=
∆
av
t
v
a
can change speed,
direction, or both
av
a
We will be specialists in Projectile
Motion!
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 Spring '06
 Buchler
 Physics, Acceleration, Projectile Motion, Velocity, Two Dimensions

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