Finding the non uniform acceleration of a point moving in a curve

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A point is moving from the start of a curve to its end. This curve is defined by moving independently its two axis: x and y. "y" moves in a linear way: 1 + (-0.5) * t;

Where 1 is the start coordinate, -0.5 its movement and t is a time number that goes from 0 to 1.

On the other hand, x isn´t linear and is defined as this: 1 / (1 + (-0.5) * t);

---However, this equation is causing a lot of trouble since "t" is not known yet. Simplifying the equation and getting rid of that division is my goal. Am asking if there´s an acceleration formula that may replace this: 1 / (1 + (-0.5) * t);

That same value is this over time:

  • 1.052632___(when t = 0.1);

  • 1.111111____ (when t = 0.2);

  • 1.176471____(when t = 0.3);

  • 1.25_______(when t = 0.4);

  • 1.333333___ (when t = 0.5);

  • 1.428571___ (when t = 0.6);

  • 1.538462___ (when t = 0.7);

  • 1.666666___ (when t = 0.8);

  • 1.818181____(when t = 0.9);

  • 2_________(when t = 1);

The acceleration isn´t constant, but I can´t figure its equation.