The ball falls without initial speed. From what height does the ball fall if its velocity at the moment

The ball falls without initial speed. From what height does the ball fall if its velocity at the moment of impact on the ground is 10 m / s?

We calculate the height from which the ball fell by the formula:

S = (V² – V0²) / 2a, where V is the final speed of the ball (V = 10 m / s), V0 is the initial speed of the ball (the ball fell without initial speed, V0 = 40 m / s), and is the acceleration of the ball ( а = g, g – acceleration of gravity (we take g = 10 m / s²)).

Let’s calculate the height from which the ball fell:

S = (V² – V0²) / 2a = V² / 2g = 102 / (2 * 10) = 100/20 = 5 m.

Answer: The ball fell from a height of 5 m.