The body is thrown at an angle to the horizon in such a way that the maximum lift was equal to the flight range. At what angle were the bodies thrown?
Since the flight range of a given body after a throw, according to the condition, is equal to the maximum lifting height, then the equality will be true: S = V0 ^ 2 * sin2α / g = V0 ^ 2 * sin2α / 2g = hmax, whence sin2α = sin2α / 2 and 2 * sin2α = sin2α.
Let’s perform trigonometric transformations: 2 * 2 * sinα * cosα = sin2α.
2 * 2 * cosα = sinα.
4 = sinα / cosα = tgα.
α = arctg4.
α = 75.984º.
Answer: The body was thrown at an angle of 75.984º to the horizon.
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.