What is the depth of the gorge if a stone that fell off the cliff reached the bottom of the gorge in a time equal to 6 s?

What is the depth of the gorge if a stone that fell off the cliff reached the bottom of the gorge in a time equal to 6 s? With what speed did the stone fall to the bottom of the gorge?

Data: t (duration of the stone falling to the bottom of the gorge) = 6 s; V0 (initial velocity of the stone) = 0 m / s (the stone fell off the cliff).

Reference values: g (acceleration of gravity) ≈ 10 m / s2 = a (acceleration of a stone when falling).

1) Calculate the depth of the gorge: H = S = V0 * t + 0.5 * a * t ^ 2 = 0.5 * 10 * 6 ^ 2 = 180 m.

2) Determine the speed of the stone at the moment of falling to the bottom of the gorge: V = V0 + a * t = 0 + g * t = 10 * 6 = 60 m / s.

Answer: The depth of the gorge is 180 meters; the stone fell to the bottom at a speed of 60 m / s.