The conversation between human and AI assistant.
At which angle does the horizontal range and maximum height equal in projectile motion?
Can you explain why that is the case?
Sure! When an object is projected at any angle, the range and height it reaches depend on its initial velocity and the angle of projection. When the angle of projection is 45 degrees, the initial velocity is split equally between horizontal and vertical components. This allows the object to travel the farthest horizontally before reaching the same height it started from, resulting in the horizontal range and maximum height being equal.