Help on physics problem:distance Earth moves towards the apple

[Coco12]

Homework Statement

When you drop a 400g apple, Earth exerts a force that accelerates it at -9.80m/s^2.
The mass of the Earth is 5.98*10^24kg.
The acceleration of the Earth as it falls towards the apple is 6.56 • 10^-25m/s^2.
if the apple falls from a height of 5.00m, find the distance the Earth moves.

Homework Equations

vf^2=vi^2+2ad
t=2d/vi+vf

The Attempt at a Solution

I found the final velocity(9.90m/s) of the apple and the time it took (1.01s).
But how do I find the distance the Earth moves with only its acceleration?

 

[superdave]

You have time, acceleration, and you can infer initial velocity. Look at your other kinematic equations.

 

[Coco12]

so can I use the formula d=vit+1/2at^2?
will the intital velocity be 0 or 9.90m/s?

 

[superdave]

The initial velocity is 0 m/s.