From what height did the body fall if the fall lasted 2 minutes?

Given:

t = 2 minutes – the period of time during which the body reached the Earth, having fallen from a certain height;

g = 10 meters per second squared – the acceleration of gravity.

It is required to determine H (meter) – the height from which the body fell.

Since the problem statement is not specified, we will not take into account air resistance. We also assume that the body begins to fall without an initial velocity.

Let’s convert time units from minutes to seconds (SI system):

t = 2 minutes = 2 * 60 = 120 seconds.

Then, to determine the height, you need to use the following formula:

H = g * t ^ 2/2;

H = 10 * 120 ^ 2/2;

H = 10 * 14400/2 = 144000/2 = 72000 meters (72 kilometers).

Answer: the body fell from a height of 72 kilometers.



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