Determine the depth of the well if a stone falling freely into it reaches the surface of the water in 4 seconds
September 23, 2021 | education
| Determine the depth of the well if a stone falling freely into it reaches the surface of the water in 4 seconds. What is the speed of a stone when it hits the surface of the water?
Task data: t (duration of free fall of a stone to the water surface) = 4 s.
Reference values: g (acceleration due to gravity) ≈ 10 m / s2.
1) The depth of the well (distance traveled by this stone): h = g * t2 / 2 = 10 * 42/2 = 80 m.
2) The speed that this stone had at the moment of impact on the water surface: V = g * t = 10 * 4 = 40 m / s.
Answer: The depth of the well is 80 m; this stone at the moment of impact had a speed of 40 m / s.
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