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If a cliff is 50meters high ignore air resistance how long to hit bottom?
Wiki User
∙ 15y ago
Time to hit bottom of a cliff
If you ignore the air resistance, any falling body will accelerate at the same constant rate under the action of gravity. On the earth, the accelaration of the gravity is about 9.81 m/s2 (9.81 meter per second squared). This is to say that the speed of the falling body will increase by 9.81 m/s, every second.
For a body accelerating from rest, the distance travelled and the time elapsed are related by the equation:
D = (a*t2)/2
where 'D' is the distance, 'a' the acceleration and 't' the time. Furthermore, the velocity 'V' of the body after 't' seconds under the same acceleration will be:
V = a*t
Using these two relations, one can easily determine that a body falling from the top of a cliff 50 meters high will hit the bottom in about 3.19 seconds, at a speed of approximately 31.3 m/s (which is about 112,8 km/h or 67.7 mph).
Wiki User
∙ 15y ago
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