Total Distance from Velocity
The total distance travelled from $$t=a$$ to $$t=b$$ is:
$$D=\int_a^b|v(t)|\,dt$$
Usage
- Used when velocity changes sign and total distance, rather than net displacement, is required.
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CAT Formulas
Indefinite Integration
Total Distance from Velocity
Total Distance from Velocity
The total distance travelled from $$t=a$$ to $$t=b$$ is:
$$D=\int_a^b|v(t)|\,dt$$
Usage
- Used when velocity changes sign and total distance, rather than net displacement, is required.
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