Kinematics Sketch

The universe is infinitely complex. But, one of the first things we learned this semester in physics was that all free motion can be described by 2 simple equations. Final velocity = initial velocity + (acceleration x time), Displacement = (initial velocity x time) + (.5 x acceleration x time^2). The issue on the surface level with these equations is that most motion in the real world happens in 3 dimensions. For example, if a ball is thrown through the air, it is moving in both the x direction and y direction due to the force of the throw and gravity.
I had trouble picturing this at first, but my sketches represent the real-life examples that my professor showed to display these phenomena. In the ball rolling example to the left, the acceleration of the bottom ball displays how force in the y direction affects motion at an angle. On the example to the right, our professor proved to us that a 45-degree angle is the most efficient for launch distance due to the best utilization of force in both directions. I am always told by my professors that if I can teach the lesson to a friend then I truly know it, and I feel like sketching this assignment helped solidify in my mind the concepts we have gone over in class.





