Projectile motions with different masses

[Bogus_Roads]

Homework Statement

Two children are swinging, one weighs more than the other. They become synchronized in their swinging, and simultaneously jump off. Do they travel both the same distance, or does one travel more than the other.

Homework Equations

The Attempt at a Solution

Because the time to ground for each is the same, and the velocity is the same (would it be the same? In order for the two to be synchronized, would one's velocity have to be greater?), I said the distance traveled would be the same.

 

[Beaker87]

Your answer is correct as long as both swings are identical (the same length and suspended from the same height.)

(and as long as the problem is ignoring air resistance)