At a certain height, the body is thrown vertically downward with an initial speed v0 = 10 m / s.

At a certain height, the body is thrown vertically downward with an initial speed v0 = 10 m / s. How can you determine the height of the throw if the final speed is v = 14.1 m / s?

Let us assume by default g equal to 10 m / s.
As we know from the school physics curriculum, free fall height can be calculated using the following formula:
h = (vk ^ 2 – v0 ^ 2) / 2g, where vk is the final velocity of the body, and v0 is the initial velocity of the body.
Let us determine from what height the body was thrown, when from the condition of the task we know that its initial speed was 10 m / s, while its final speed was 14.1 m / s:
h = (14.1 ^ 2 – 10 ^ 2) / (2 * 10) = 4.9405 m.
Answer: h = 4.9405 m.