A rotating disc moves in the positive direction of the x-axis. Find the equation `y(x)` describing the position of the instantaneous axis of rotation if at the initial moment of the centre `c` of the disc was located at the point O after which it moved with constant velocity v while the disc started rotating counterclockwise with a constant angular acceleration `alpha`. the initial angular velocity is equal to zero.

Explanation

`t = (x)/(v) and omega = alpha t = (alpha x)/(v)`
The position of IAOR will be at a distance
` y = (v)/(omega) or y = (v)/((alpha x)/(v))`
or ` y = (v^(2)) /(alpha x)or xy = (v^(2))/(alpha ) ` = constant
This is the desired x - y equation. This equation represents a rectangular hyperbola.