3.
When the trace cursor is moving upward the particle is
moving to the right, and when the cursor is moving
downward the particle is moving to the left. Again we find
the same values of
t
for when the particle reverses
direction.
4.
We can represent the velocity by graphing the parametric
equations
x
4
(
t
)
5
x
1
9
(
t
)
5
12
t
2
2
32
t
1
15,
y
4
(
t
)
5
2 (part 1),
x
5
(
t
)
5
x
1
9
(
t
)
5
12
t
2
2
32
t
1
15,
y
5
(
t
)
5
t
(part 2),
x
6
(
t
)
5
t
,
y
6
(
t
)
5
x
1
9
(
t
)
5
12
t
2
2
32
t
1
15 (part 3)
[
2
8, 20] by [
2
3, 5]
(
x
4
,
y
4
)
[
2
8, 20] by [
2
3, 5]
(
x
5
,
y
5
)
[
2
2, 5] by [
2
10, 20]
(
x
6
,
y
6
)
For (
x
4
,
y
4
) and (
x
5
,
y
5
), the particle is moving to the right
when the
x
coordinate of the graph (velocity) is positive,
moving to the left when the
x
coordinate of the graph
(velocity) is negative, and is stopped when the
x
coordinate
of the graph (velocity) is 0. For (
x
6
,
y
6
), the particle is
moving to the right when the
y
coordinate of the graph
(velocity) is positive, moving to the left when the
y
coordinate of the graph (velocity) is negative, and is
stopped when the
y
coordinate of the graph (velocity) is 0.
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 Fall '08
 GERMAN
 Derivative, BMW Sports Activity Series, ymax, Graph of a function, 400 feet, graphical support

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