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Worksheet E: 2D motion.
1I
.
A particle moves along the trajectory shown below at
constant speed
in the
clockwise direction.
a.
On the figure, draw vectors to represent the velocity of the particle at points 1 and
3. Draw them big! Copy these vectors in the top space at right (labeled “13”) and
label them
1
v
G
and
3
v
G
.
b.
Draw the vector change in velocity
v
∆
G
and the vector average acceleration of the
particle between points 1 and 3.
c.
Repeat steps a and b for points 1 and 2 using the space labeled “12”.
d.
Consider the angle between
1
v
G
and
v
∆
G
in each case. As the points considered get
closer together, this angle approaches a certain limiting value. The limiting value
is:
> 90°
= 90°
<90°
e. Generalize: What is the relation between the direction of the acceleration and
direction of the velocity for an object that is moving in a curved trajectory at
constant speed?
They are perpendicular to each other.
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 Fall '08
 HerreraSiklody
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