I was just wondering about air resistance, since the values are experiment and the angle with maximum range was like 50 with a concave down parabola on a graoh of the results. We have to research it and present information for the secondary experiment, and I was wondering how air resistancce affected the theoretical answer
This is actually a fairly interesting problem. When we factor in air resistance, we get an additional acceleration in the horizontal direction, opposing the motion. However, do we consider this as a constant acceleration (drag), or is it proportional to the speed of the object itself? It is standard to make the retarding acceleration proportional to the square of the speed, but sometimes we use other functions.
All of this will effect the value of optimum launch angle. Typically we'd obtain something
less than 45 degrees, as we need to put a bit more of our velocity into the horizontal component to compensate for the horizontal de-acceleration. If you think about it intuitively, this should make sense. If something is now pushing back against us, it makes sense that we'd want to shoot a bit lower. As another way to think of it, this will reduce the time of flight and thus reduce the amount of time air resistance can slow down the projectile
Definitely not impossible to have 50 degrees as an optimum angle though - It depends on how drag affects the object