QUESTION IMAGE
Question
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rank the following graphs (identified by letter) of velocity versus time with the largest positive acceleration at the top to the largest negative acceleration at the bottom.
ⓘ instructions
Step1: Define acceleration on v-t graph
Acceleration $a = \frac{\Delta v}{\Delta t}$, which is the slope of the velocity-time (v-t) graph.
Step2: Calculate slope for each graph
- Graph D: Steep positive slope (largest positive $a$)
- Graph B: Moderate positive slope
- Graph C: Zero slope ($a=0$)
- Graph F: Gentle positive slope
- Graph E: Gentle negative slope
- Graph A: Steep negative slope (largest negative $a$)
Step3: Rank from positive to negative
Order by decreasing acceleration (most positive to most negative).
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- D
- B
- C
- F
- E
- A