# Find a pattern in key => value?

Sorry if this isn't the correct place but it did seem to be! Basically, I'm coding a small test with a bouncing ball. All works well, but the problem is I need to work out the b needed for a ball to bounce a realistic looking height where b = 'bounce'. This isn't a physics question!

I have worked out b = distance_from_ground / modifier. However the modifier needs to be different each time depending on distance_from_ground. So I've experimented quite bit and found the following pattern for realistic bouncing.

distance_from_ground  |  modifier
50                        12.5
130                       10
330                       5


What's the best way of working out a pattern? I want the program to work out the modifier based on the distance_from_ground?

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- linear model : $m(d) := 13.25-d/40$ (default : $12.5\to 12$) - power model : $m(d):= 14.84-0.118*t^{0.7627}$ (you didn't provide the asymptotics...). But a physical model would be nicer and more reliable ! –  Raymond Manzoni Dec 21 '12 at 13:37
@RaymondManzoni Thank you that's awesome! I will switch to a physically accurate model eventually, but this is just a test that's more about testing to technology than anything else :) –  andy Dec 21 '12 at 13:45
Glad it helped @andy and fine continuation ! –  Raymond Manzoni Dec 21 '12 at 13:47