The body falls freely from a height and at the surface of the earth reaches a speed of 100 m / s.

The body falls freely from a height and at the surface of the earth reaches a speed of 100 m / s. From what height does the body fall?

Given:
V = 100 m / s;
g = 9.8 m / s ^ 2;
Find h.
Decision:
1) We need to find the time t, since it is used in the formula for finding the height.
t = V / g = 100 / 9.8 = 10 s approx.
2) Find the height by the formula
h = gt ^ 2/2.
Let’s plug in the values and find the answer.
h = 9.8 * 10 ^ 2/2 = 500 meters
Answer: 5 m