The body falls to the ground from a height of 30 m. Determine its speed when hitting the ground.

Given:
h = 30 meters – the height from which the body falls;
g = 10 Newton / kilogram – acceleration of gravity.
It is required to determine v (meter per second) – the speed of the body when hitting the ground.
To determine the speed of the body during impact, you must use the following formula (the law of conservation of energy):
m * h * g = m * v ^ 2/2, where m is body mass.
h * g = v ^ 2/2;
2 * h * g = v ^ 2;
v = (2 * h * g) ^ 0.5;
v = (2 * 30 * 10) ^ 0.5;
v = (60 * 10) ^ 0.5 = 600 ^ 0.5 = 24.5 m / s (the calculation result is rounded to one decimal place).
Answer: the speed of the body will be equal to 24.5 m / s.



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