Equation for Final Position and Distance on a Velocity vs Time Graph

[Drewser]

Homework Statement

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?

Homework Equations

No idea

The Attempt at a Solution

22 meters but all I need are the equations

 

[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
$$\dot{y} = \dot{y}(0) + at$$

 

[Astronuc]

Is this in one dimension?

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

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

where t_i is the initial time and t_f is the final time.

This assumes no acceleration.