1. The problem statement, all variables and given/known data A projectile is fired through the air. It is launched from the ground, and travels without interference from wind or air resistance, landing on a raised platform above the field. Initial speed vs. final speed: Initial vertical velocity vs. final vertical velocity Initial horizontal velocity vs. final horizontal velocity: Initial acceleration vs. final acceleration: The attempt at a solution For initial speed vs final speed, going by the basic definition, that is distance by time, they always stay in a ratio, so it doesn't change For Initial vertical velocity vs. final vertical velocity, going by the basic definition again, that is displacement by time, till the highest point there's maximum displacement, therefore the ratio of displacement by time is the highest there. Even higher than just before landing, because it comes down, and hence the displacement decreases, also decreasing the ratio of d/t Initial horizontal velocity vs. final horizontal velocity, there's no change because there's no air resistance or wind or any disturbance. Initial horizontal velocity vs. final horizontal velocity. They're both the same in magnitude, just signs differ. Please tell me where I'm wrong and why.