Your reaction time

A friend drops a ruler and you catch it. The farther it falls, the slower you were. You will turn the distances into times with $t = \sqrt{\dfrac{2d}{g}}$, and find your average reaction time. Your nerves and muscles set this time.

The idea. Change centimetres to metres, then use the formula with $g = 9.8\ \text{m/s}^2$.

Your tasks.

1. In time, return the time in seconds for a fall of d_cm centimetres.
2. Set times to the time for every catch in catches_cm.
3. Set average_ms to the mean of the times, in milliseconds.