Cue Column:
- x-t graph slope?
- v-t graph slope?
- v-t area?
- Curved x-t?
Notes:
| Graph | Slope | Area |
|---|---|---|
| x vs t | velocity | - |
| v vs t | acceleration | displacement |
| a vs t | jerk | change in velocity |
Interpretation rules:
- Straight line in x-t => constant velocity (a = 0)
- Parabola in x-t => constant acceleration
- Straight line in v-t => constant acceleration
- Horizontal line in v-t => zero acceleration (uniform motion)
- v-t line crossing zero => direction reversal
Area caution: Area under v-t gives DISPLACEMENT (signed). For distance, take absolute values of areas above and below the time axis separately, then add.
Summary: Slope = derivative, Area = integral. Master this correspondence.