I love how there's so many calculations with energy and time. Here's my offering with just concept. The first thing they teach you in projectile motion in grad

I love how there's so many calculations with energy and time. Here's my offering with just concept. The first thing they teach you in projectile motion in grade 12 physics is that the horizontal component is independent from vertical component. That means, if you ignore friction, and you throw a ball in an arc, you'll find that the horizontal speed is linear! This surprises many people, since it's not very intuitive. You would expect the horizontal speed to be quadratic or non-linear, which is not the case. If the ball loses 40% of its vertical energy, it means that it'll just keep bouncing, but at lower and lower heights, but the horizontal speed is continuous. In fact, if given the initial velocity and angle, you could calculate the horizontal distance traveled by the ball for any point in time.