How far will a freely falling object fall from rest in five seconds?

Hello!

I suppose we speak about falling near Earth's surface and that the air resistance is ignored (in practice, it cannot be ignored).

Then the only force acting on a body is the gravity force. It may be considered constant near the surface. By Newton's Second law a constant force gives a body a constant acceleration: a=F/m. Actually this acceleration doesn't dependent on a body's mass and equal to 9.8 It is usually denoted as g.

A constant acceleration makes uniformly increasing speed, V=gt, and a displacement  Here t is a time from the start (in seconds), and the fact that a body starts from rest is already taken into account.

This way, t=5s and  This is the answer.