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As you can see it requires some basic math and a few calculations to get the desired curve, but with a table you will always be on the safe side. Here is the final table with the retimed X and original Y values:

 

X [s]

0.00 s

1.33 s

10.33 s

11.23 s

12.95 s

Y [s]

0.00 s

1.33 s

3.58 s

5.64 s

7.36 s

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