Question

1)
how is change in velocity shown on a position vs time graph?

2) how is change in velocity shown on a velocity vs time
graph?

3) how is change in velocity shown an acceleration vs
time graph?

4) how can position be found from a velocity vs. time
graph?

5) how can velocity be found from an acceleration vs.
time graph?

6) how is acceleration shown on a position vs. time
graph?

7) how is velocity shown on a velocity vs. time
graph?

Answer #1

1] Change in velocity in position-time graph can be shown by change in slopes at the two point of time.

2] It can be shown by difference in velocity coordinate (y-coordinate) of the graph at the two times.

3] It can be shown by area under a curve.

4] It can be found by adding initial position to area under a curve algebraically.

5] It can be found by adding initial velocity to area under a curve algebraically.

6] Acceleration is shown by finding concavity of the graph.

7] Velocity is shown on velocity coordinate (y-coordinate).

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Graph 1: [A565]t vs time (sec)
y=mx+b
y=-0.0277x +0.5852
(graph is curved)
2
0.644
3
0.61
4
0.479
5
0.434
6
0.39
7
0.353
8
0.319
9
0.291
10
0.261
11
0.238
12
0.207
13
0.182
14
0.161
15
0.146
16
0.132
17
0.117
18
0.111
19
0.095
20
0.086
21
0.071
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2
-0.44
3
-0.494
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-0.736
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-0.835
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-0.942
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