This was algebra, not physics. Of course physics is fun but nobody likes to solve a system of 10 non linear equations with 10 unknowns, it's what computers are made for. Physics is about concepts, computers and mathematics will do the rest of the job. If you enjoy the hard way (algebra heavy way) you should've studied algebra instead of physics.
God damn, it makes sense and you have explained it very clearly but it seems to complicated to be useful and to much working out to be useful xD The part where you explained AB^2 threw me off a little to be honest but otherwise very helpful.
the two objects exchange some velocity. Think of it as if the golf ball was stationary, the tennis ball would have given away some of that velocity to the golf ball. In that case it is obvious the tennis ball will be slowed down and the golf ball sped up. Not as obvious when they are both moving initially
Man - you REALLY should not have rounded your result - it totally ruins the answer, because when you plug those resulting velocities into the kinetic energy formula, they are wildly wrong. This is why smart people fail math - because teachers take unexplained shortcuts which break the answers... Using -39 and 52 gives us 104.949 J, which does *not* equal the 102.65J we started with!!!
@@Brainiac51 This is a math instructions video - but it LITERALLY does not add up. Like I said - how are students supposed to LEARN this shit, when teachers make it IMPOSSIBLE for anyone to get a correct answer? It takes decades of experience to understand that 3J *might* be insignificant, and why/how your answer doesn't match the lessons - which is utterly unnecessary if the teacher had simply empathised with the skill levels of the students and make everything work out and be repeatable !!