Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the first drop strikes the floor when the sixth drop begins to fall. The height at which the fourth drop will be from

Question

Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the first drop strikes the floor when the sixth drop begins to fall. The height at which the fourth drop will be from ground, at the instant when the first drop strikes the ground is ____ m. (g = 10 m/s²)

Accepted Answer

Answer: 4.2 — Time for first drop t = √(2H/g) = 1 s, interval = 0.2 s. Fourth drop falls for 0.4 s ⇒ s = 0.8 m ⇒ height = 5 − 0.8 = 4.2 m.

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