Water drips from the nozzle of a shower onto the floor 2.45 m below. The drops fall at regular intervals of time, with the first drop striking the floor at the instant the third drop begins to fall. Assume that air resistance is negligible.

(a) How long does it take for the water drop to fall from the nozzle to the ground?

(b) What is the height of the second drop (from the floor) when the first drop strikes the floor?