During a high-performance athletic cognitive test, a goalkeeper's reaction time is evaluated using a vertical target-drop apparatus as shown below.
An electromagnet releases a target rod from rest, and the goalkeeper catches it as quickly as possible. The distance the target rod fell before being caught was 44.1 cm44.1\text{ cm}44.1 cm.
The distance ddd (in metres) that an object falls from rest under gravity in time ttt (in seconds) is given by the formula: d=12gt2d = \frac{1}{2} g t^2d=21gt2 where g=9.8 m/s2g = 9.8\text{ m/s}^2g=9.8 m/s2.
Calculate the reaction time ttt of the goalkeeper. Show your working.
Name the human coordination system responsible for this rapid reflex action, and state one way its signal transmission differs from that of the endocrine system.