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=alphat=(alphax)/(v)`
The positive of IC will be at a distance
`y=(v)/(omega)` or `y=(v)/((alphax)/(v))`
or `y=(v^(2))/(alphax)` or `xy=(v^(2))/(alpha)=` constant
this is the desired `x.y` equation. This equation represents a rectangular hyperbola.