# How to proof or drive

1. Sep 5, 2008

### david12

1. The problem statement, all variables and given/known data

I try to drive distance formula which is S=vt+1/2at^2.

I use velocity and acceleration formula to drive the distance formula but i couldn't get the distance formula.is there any one know how to drive S=vt+1/2at^2. and how that came from in the first place .

thank you.

2. Sep 5, 2008

### Kurdt

Staff Emeritus
Its the solution to the differential equation:

$$\frac{d^2s}{dt^2} = C$$

where c is a constant.

3. Sep 5, 2008

### Defennder

A more graphical method involves drawing a velocity-time graph of an object under constant acceleration from velocity u to v. It should look like a trapezium whose parallel sides are parallel to the velocity axis. The area of the parallelogram gives you the displacement, and that is given by the formula.