Verified answer

unit conversion is easy if you know the trick.

Treat the unit as if it was actually multiplied to the number it is the unit of.

for example. 0.412 cm you should treat this as if it was 0.412 * 1cm.

In your above example:

0.412 cm/tic^2 = 0.412 * 1cm / (1 tic)^2.

The next part of the trick is that if there are 30 tics in 1 sec, then 30 tics is equal to 1 sec.

if A = B, then A/B = 1.

30 * 1 tic / 1 sec = 1.

Any value, multiplied by the value 1, doesn't change it's value.

So, you can take 0.412 cm/tic^2 and multiply it by 1 (or the equivalent of 1) as many times as necessary.

then, 1 tic / 1 tic = 1, so you can cancel out those units.

So altogether, you get the following equation:

[0.412 * 1 cm / (1 tic)^2] * [30 tic / 1 sec] * [30 tic / 1 sec] =

then just do the math and cancel out units that are in both the numerator and the denominator.