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Question
1-17 graphing position vs. time to find velocity
name kiara green mr. dimitriou period 5th date 10/7/25
assume all distances are in a straight line unless otherwise specified.
- draw the following position vs. time graph. remember, in physics time is always the independent variable (that means the line that goes sideways on the graph)
| t (seconds) | x (meters) |
|---|---|
| 1 | 7 |
| 2 | 8 |
| 3 | 14 |
| 4 | 30 |
| 5 | 28 |
remember, velocity is change in position over change in time $\frac{xf - x0}{tf - t0}$
- look at the table above. what is the slope of the graph between 0 and 1 seconds?
- what was the average velocity between 0 and 1 seconds?
- what was the average velocity between 0 and 3 seconds?
- what was the average velocity between 2 and 3 seconds?
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(1) Plot points \((0,2)\), \((1,7)\), \((2,8)\), \((3,14)\), \((4,30)\), \((5,28)\) on a graph with time \(t\) (in seconds) on the horizontal - axis and position \(x\) (in meters) on the vertical - axis and connect them with a smooth curve.
(2) \(5\) m/s
(3) \(5\) m/s
(4) \(4\) m/s
(5) \(6\) m/s