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Question by developeration1 · Dec 01, 2019 at 07:01 AM · physics2dspeedmathmathscalculations

Calculate speed for distance with bpm

Ok, this must be a really wierd one, but the thing is: I'm making a pong-like game where BPM is essential because I want that every beat, the ball collide with the players' wall; I already fixed any problem that can lead to the loss of rhythm (such as position change or maintaining the speed of x constant), that is no problem, but the thing is, how can I calculate the speed that I need for the ball to collide every beat, knowing how many bpm the song is?

More than a Unity question, is more a math question...

If you need more info, just ask. Thanks!

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Answer by BastianUrbach · Dec 01, 2019 at 08:49 AM

First, calculate the beats per second:

beatsPerSecond := beatsPerMinute / 60
From that, calculate the time between two beats:
secondsPerBeat := 1 / beatsPerSecond
Finally, calculate the velocity using the distance you need to cover within one beat:
velocity := distance / secondsPerBeat

In short:
velocity := distance * beatsPerMinute / 60

Now that's just the velocity you need if the ball was using the shortest path but it's actually travelling diagonally. Assuming your game is layed out from left to right like the original pong game, you can easily calculate the velocity vector like this:
velocityVector := direction / direction.x * velocity
This makes sure that no matter the angle, the ball always travels at the given velocity along the x-axis.
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