Distance fallen (change in y): .16 meters

Calculation:

delta y = v-initial * t + 1/2 *a*t^2

-0.16 m = 0 + (1/2)*(-9.8 m/s^2) * t^2

-0.16 m = 0 + -4.9 * t^2

.03265 = t^2

.18 = t

Since the average reastion time is .25s, and my reaction was .18, I was .007 faster than the average reaction time.

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Your math looks correct. They need to add a feature to enter equations in.