I was trying to make my own proof for centripetal acceleration (a = (v^2)/r).
I took two points along the path of motion A and B, which are a distance (along the circle) of half the circumference of the circle.
I made them half way, as that would mean they would have exactly opposite velocities, making calculations easier .
I calculated the time taken to travel from A to B by getting the time period and halving it (using the speed and total circumference).
I then simply used an equation of motion to get acceleration, although I seem to have this dangling (2/pi), which has left me stumped.
Why does my proof not work?