Hi, I'm Tim for Quebec, Canada and I'm having a hard time grasping the whole problem and how to solve it. I'd appreciate it a lot if you could help me with this one. Thank you very much and best regards.

P.S. I translated the problem from French to English the best I could and I couldn't find a proper way to translate part b) so I'm sorry for the hard time I'm causing you. I hope you understand what I wrote.

Circular-rectilinear transfer

The metal bar of lengthlon the figure has an extremity fixed on pointPon a circle of the radiusa. The other extremity of the bar, pointQ, moves in a rectilinear horizontal trajectory.

a) By findingx, the distance betweenOandQ, determinexin function of angleθ.

b) Supposing that the lengths are expressed in centimeters and that the variation of the angle is 2 radians per seconds in anti-clockwise, find the speed at which the pointQis moving whenθ= π/2

c) What do we need to calculate if we want to find for which angleθpoint P is moving the fastest.