Speed of falling object via derivation/integration

[warfreak131]

Homework Statement

A stone is dropped from rest at an initial height h above the surface of the earth. Show that the speed with which it strikes the ground is v=sqrt(2gh)

Homework Equations

The Attempt at a Solution

I'm just not sure where to get started. I fully understand how to integrate/derive. I am having trouble understanding what equations to start with.

EDIT: I assume that I have to derive/integrate somewhere. I understand how to get sqrt(2gh) just by re-arranging the equation v_f² = v_i²+2gh

 

[rock.freak667]

Assuming no air resistance, then the resultant force acting on the mass m is ma=mg.

You can write 'a' as 'dv/dt' and integrate.

Though using kinematics/energy is much simpler.

 

[warfreak131]

Assuming no air resistance, then the resultant force acting on the mass m is ma=mg.

You can write 'a' as 'dv/dt' and integrate.

Though using kinematics/energy is much simpler.

that would give me dv/dt = g. if i integrate with respect to t, id get v=gt

edit: nevermind, i got it,thanks