# Math Help - Total distance formula...

1. ## Total distance formula...

I want to know the formula for total distance traveled by the particle.

absolute value something....I forget.

Thank You!

-qbkr21

2. Originally Posted by qbkr21
I want to know the formula for total distance traveled by the particle.
You must integrate the speed function over the time interval.
The “absolute value” you referred to may be notation for the speed function.

3. ## Re:

Re:

4. Originally Posted by qbkr21
Re:
Given a function v(t) for the velocity of a particle, the speed of the particle is |v(t)|. The distance travelled (for a particle moving in 1-D anyway) will be:
d = Int[|v(t)|dt ,t]

-Dan