The relationship between distance and acceleration can be described using the equations of motion. The equations of motion describe the motion of an object in terms of its displacement, velocity, acceleration, and time.

In general, the relationship between distance and acceleration depends on the initial conditions of the object's motion, including its initial velocity and the forces acting on it. If the acceleration is constant, as is the case with free-fall near the surface of the Earth, the distance traveled by an object is proportional to the square of the time elapsed. If the acceleration varies, the relationship between distance and time can be more complex.

The formula for determining the distance using acceleration can be defined as: