A body thrown vertically upward has reached a maximum height of 180 m. Determine its initial speed.
March 24, 2021 | education
| Initial data: H (height reached by the body) = 180 m; the body, having reached its maximum height, will have a speed equal to zero.
Constants: g (acceleration of gravity) = 10 m / s ^ 2 = -a.
We express the initial velocity of the body from the following formula:
S = H = (V ^ 2 – V0 ^ 2) / 2a = (0 – V0 ^ 2) / (-2g) = V0 ^ 2 / 2g.
V0 ^ 2 = 2g * H; V0 = √ (2g * H).
Let’s perform the calculation:
V0 = √ (2 * 10 * 180) = √3600 = 60 m / s.
Answer: The initial velocity of the body is 60 m / s.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.