What Can You Tell About the Acceleration of an Object Given Its Position?

[KFC]

Homework Statement

Today, I got a handout of one problem related to acceleration and position. The problem states. If the relation of x=0.5*g*t^2 is given, what can you tell about the acceleration of the object? (single choice. the problem set is one of the following is right)

1) acceleration depends on mass
2) acceleration depends on the shape of object
3) acceleration depends on the distance the object moved
4) acceleration depends on where it located

2. The attempt at a solution
Based on calculus, the acceleration is second derivate on x with respect to time. So in this problem, the acceleration is constant. How come does it depend on mass, shape, distance or location?

 

[Delphi51]

Note that g varies slightly over the surface of the Earth (used to be used to locate salt domes which are good prospects for oil traps) and of course is different on other planets and at different locations in space.