Two bodies fall freely from one point without initial velocity. The second body began to move 1 s after the first.

Two bodies fall freely from one point without initial velocity. The second body began to move 1 s after the first. How do falling bodies move relative to each other?

The equation for the speed of falling of the second body: v1 = g * t.

After 1 second, the first body will pick up a falling speed equal to v = g m / s² * 1 s = g m / s, which will become its initial speed at the moment when the second body begins to fall.

The equation for the speed of falling of the first body: v2 = g + g * t.

The difference between the speeds of the second and first bodies:

v2 – v1 = g + g * t – g * t = g m / s.

Consequently, two bodies will move relative to each other without acceleration, uniformly, with a constant difference in speed equal to g m / s.