Net change versus total distance
A particle has velocity v(t)=t-2 m/s on 0<=t<=5. It moves left before t=2 and right after t=2.
- Net change uses integral v.
- Distance uses integral
- v
- .
- Split where velocity changes sign.
definite integrals and the Fundamental Theorem
A particle has velocity v(t)=t-2 m/s on 0<=t<=5. It moves left before t=2 and right after t=2.
Pause. Find what matters. Then make your move.