Did you know?
Did you know that the time of flight, maximum height, and range of a projectile can be calculated using the initial velocity and angle of elevation? For example, if a stone is shot from a catapult with an initial velocity of 30m/s at an elevation of 60°, we can determine these values. The time of flight is determined by the vertical velocity component and can be found by using the equation t = 2u sin(θ) / g, where u is the initial velocity, θ is the angle of elevation, and g is the gravitational acceleration. The maximum height attained can be calculated using the equation h = u^2 sin^2(θ) / 2g. Finally, the range, which is the horizontal distance traveled, can be determined using the equation R = u^2 sin(2θ) / g. These calculations provide a better understanding of the motion and trajectory of projectiles launched at different angles and speeds.
