# If two bodies move constantly but with different speed, do they move with acceleration relative to each other? [closed]

If two bodies move constantly but with different speed, do they move with acceleration relative to each other?

## closed as off-topic by stafusa, Chair, ZeroTheHero, Jon Custer, Frédéric GrosshansSep 12 '18 at 15:46

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• When you say constantly do you mean that both bodies have a constant velocity? – Anders Gustafson Sep 7 '18 at 19:01
• What are your thoughts? – Chair Sep 8 '18 at 3:50

If we have $x_1 = v_1 t + x_{1,0}$ and $x_2 = v_2 t + x_{2,0}$, then the distance between them is described by $x_2 - x_1 = (v_2 - v_1) t + x_{2,0} - x_{1,0}$. As you can see, this distance grows with constant speed $v_2 - v_1$ and there isn't relative acceleration.