this post was submitted on 28 Aug 2024
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[–] SpaceNoodle@lemmy.world 70 points 10 months ago* (last edited 10 months ago) (2 children)

They're traveling away from their origin at constant velocities, so they're traveling relative to each other at constant velocities as well.

The magnitude of the resulting vector (i.e., speed) can be calculated trivially since their movement is perpendicular on a plane, as the root of sum of squares, which many could recognize as the Pythagorean theorem:

√((5 ft/s)² + (1 ft/s)²) = √26 ft/s ≈ 5.1 ft/s

You can verify this by finding that their average speed apart is the same at all times (for all t > 0):

Vavg = √((t * 5 ft/s)² + (t * 1 ft/s)²) / t = √(t² * ((5 ft/s)² + (1 ft/s)²)) / t = √26 ft/s

[–] key@lemmy.keychat.org 25 points 10 months ago* (last edited 10 months ago) (1 children)

Don't forget to calculate the location where everything about them began and then include the curvature of Earth considering the latitude of said location into your speed calculation.

[–] SpaceNoodle@lemmy.world 35 points 10 months ago (3 children)

No, they're spherical children in a vacuum.

[–] answersplease77@lemmy.world 13 points 10 months ago

for approximation we can assume that the boy is a point mass and the girl is a lie

[–] ICastFist@programming.dev 5 points 10 months ago

Oh, so we have to calculate the gravitational attraction pulling them back. Fucking hell

[–] Hamartia@lemmy.world 2 points 10 months ago

Augustus! Save some room for later.

[–] Randelung@lemmy.world 3 points 10 months ago* (last edited 10 months ago) (1 children)

https://en.m.wikipedia.org/wiki/Spherical_geometry

I couldn't find 'potatoy geometry' for a better approximation of earth.

[–] SpaceNoodle@lemmy.world 1 points 10 months ago (1 children)

You'll note that I already assumed that they were on a plane, not the surface of a sphere.

[–] Randelung@lemmy.world -1 points 10 months ago (1 children)

I'm also noting the stick up your ass. 🙄

If the potato remark and subreddit don't tip you off that I was being flippant, I don't know what will.

[–] SpaceNoodle@lemmy.world 2 points 10 months ago

No, the stick would be a one-dimensional line.