Really basic question, but basically I'm given a change in height in centimeters (that's how I measured it). From that, I'm supposed to find the initial kinetic energy.
$KE_i = PE_f$
After doing some work, the masses cancel out and I'm left with:
So my change in height is 8.80 cm. If I input that, my velocity turns out to be 13.1 cm/s. However, if I initially convert it to meters, it ends up being 1.31 m/s. 13.1 centimeters definitely isn't the same as 1.31 meters.
I can see that the square root is the problem, but why? And what should I actually do?
In addition, if there is a square root in kinematic equations as well, does it need to be in meters or something?