# Wondering where the distance formula from acceleration due to gravity comes from

1. Sep 13, 2005

### Icedfire01

Pretty much like the title says. I'm having a hard time finding where the formula: d=1/2gt^2 comes from. Any help would be greatly appreciated.

2. Sep 13, 2005

### misogynisticfeminist

If a=g, then integrate twice with respect to time !!

3. Sep 16, 2005

### Tom Mattson

Staff Emeritus
That's almost right. When you integrate twice you pick up two arbitrary constants of integration. To really derive the formula you would have to solve the following initial value problem:

$$\frac{d^2y}{dt^2}=-g$$

$$y(0)=0$$

$$y'(0)=0$$.

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