Rotation and translation (of life importance)

[FermatPell]

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 the axis C of the disc was located at the point O after which it moved

(A) with a constant velocity v, while the disc started rotating counterclockwise with a constant angular acceleration (beta) (the initial angular velocity is equal to zero);
(B) with a constant acceleration (omega) (and the zero initial velocity), while the disc rotates counterclockwise with a constant angular velocity (omega)

I don't understand it - if the instantaneous axis of rotation always passes through the point of contact between ground and a disc, isn't it like trivial?

could some1 solve it pls?? its for my gf she will kill me if i don't solve it by the morning. (if she's reading this, go away)

 

[tiny-tim]

Welcome to PF!

Hi FermatPell! Welcome to PF!

(have a beta: β and an omega: ω )

… I don't understand it - if the instantaneous axis of rotation always passes through the point of contact between ground and a disc, isn't it like trivial?

I think the disc is flat, not rolling upright.