Should compare accelerations of 3 formulas:
| name | formula |
|---|---|
| proportion | y = x |
| square | y = x^2 / 42 - 1 |
| inverse proportion | y = (-42 / (x - 42)) -1 |
proportion
[7.000, 7.000], [14.000, 14.000], [21.000, 21.000], [28.000, 28.000], [35.000, 35.000], [42.000, 42.000],
square
[7.000, 1.195], [14.000, 4.780], [21.000, 10.756], [28.000, 19.122], [35.000, 29.878], [42.000, 43.024],
inverseProportion
[7.000, 0.200], [14.000, 0.500], [21.000, 1.000], [28.000, 2.000], [35.000, 5.000], [42.000, ∞],
proportion
[0.000, 0.000], [0.500, 0.500], [1.000, 1.000], [10.000, 10.000], [21.000, 21.000], [41.000, 41.000], [41.500, 41.500], [41.900, 41.900], [41.990, 41.990], [41.999, 41.999], [42.000, 42.000],
square
[0.000, 0.000], [0.500, 0.006], [1.000, 0.024], [10.000, 2.439], [21.000, 10.756], [41.000, 41.000], [41.500, 42.006], [41.900, 42.820], [41.990, 43.004], [41.999, 43.022], [42.000, 43.024],
inverseProportion
[0.000, 0.000], [0.500, 0.012], [1.000, 0.024], [10.000, 0.312], [21.000, 1.000], [41.000, 41.000], [41.500, 83.000], [41.900, 419.000], [41.990, 4199.000], [41.999, 41999.000], [42.000, ∞],
See also the graphs: https://www.desmos.com/calculator/2kkw81jkqu