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Determining the relationships between position, velocity and acceleration from a position vs. time plot. |
By looking at the position versus time graph shown above, determine the following at each of the eight numbered instants of time:
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D.) Is the object speeding up (accelerating) or slowing down (decelerating)?
Solution
System, Interactions and Model: This exercise is a review of the definitions of position, velocity and acceleration. These concepts are used in several of the models in the hierarchy.
Answers:...
1 | Time 2 | Time 3 | Time 4 | Time 5 | Time 6 | Time 7 | Time 8 |
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Position | + | + | + | + | – | – | – | – |
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Velocity | + | + | – | – | – | – | + | + |
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Acceleration | + | – | – | + | – | + | + | – |
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Acceleration/
Deceleration | A | D | A | D | A | D | A | D |
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It is important to note that any combination of signs is possible for position, velocity and acceleration! |