THE PRACTICE STUDIO
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PRACTICE / Integrals and accumulated change
One graph, two travel measures
A cart has velocity v(t) = 6 − 3t m/s from t = 0 to t = 4 s.
| Time (s) | Velocity (m/s) |
|---|---|
| 0 | 6 |
| 2 | 0 |
| 4 | −6 |
Find the total distance travelled.
Organize the givens & assumptions
- v(t) = 6 − 3t in SI units
- Interval: 0 to 4 s
- Requested quantity: distance, not displacement
One-dimensional smooth motion. Distance counts motion in both directions positively; use seconds and metres.
- A
- B
- C
- D
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