Two students try an experiment: Student A holds a meter stick vertically by one end. Student B holds her hand in a circle around the meter stick without touching it. The objective is to have Student A release the meter stick from rest, and as soon as Student B observes the meter stick falling, she must catch it.

Before the experiment begins, the top of Student B's hand encircles the meter stick at the 14.7 cm mark. The experiment proceeds, and the students find that Student B's hand catches the meter stick with the top of her hand at the 17.8 cm mark.

Determine Student B's reaction time.