# Final position

1. Sep 3, 2007

### Drewser

1. The problem statement, all variables and given/known data
Do you know the equation to find final position on a velocity vs time graph

Plus on the same graph how do you find the distance traveled, equation wise too from 4 seconds to 15 seconds?

2. Relevant equations

No idea

3. The attempt at a solution

22 meters but all I need are the equations

2. Sep 3, 2007

### Mindscrape

No, you don't need any magic equations. Is your graph of velocity a straight slope? Would you know how to find an equation from a graph with y = mx + b?

Don't just ask for equations without any work or thoughts about anything because I might as well assume you could solve this
$$\dot{y} = \dot{y}(0) + at$$

3. Sep 3, 2007

### Staff: Mentor

Is this in one dimension?

if velocity is given by v(t) = dx(t)/dt, then distance traveled in time interval between ti and tf is given by

$$\int_{t_i}^{t_f}\,v(t)\,dt$$

where ti is the initial time and tf is the final time.

This assumes no acceleration.