Finite-Difference Vector Kinematics
A
strobe motion diagram
shows an object's
positions at equally-spaced time intervals
±
t
:
Time interval
#1
²
2
:
±
r
12
=
r
2
-
r
1
Avg. Velocity
:
v
12
=
±
r
12
±
t
±
instantaneous
v
(t) midway thru interval
#1
²
2
(at time
t = t
1
+
±
t
2
)
if
±
t is "small" enough
Draw
±
r
12
=
v
12
±
t
. . . etc. for each interval.
1
2
3
4
t = t
1
1
t
+
±
t
1
t
+ 2
±
t
1
t
+ 3
±
t
x
y
z
1
2
r
1
r
2
±
r
= v
±
t
12
12
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preview
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Time intervals
#1
±
2
and
#2
±
3
:
Avg. Acceleration
:
(around point #2)
instantaneous
v
's
644474448
a
2
=
²
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- Spring '07
- LECLAIR,A
- mechanics
-
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