First,

At the top, the the height is changing (dv/dt) at 0 m/sec with the horizontal displacement changing (dh/dt) at 11 /10 m/sec. Vamp 1/4 turn to the far right. At this point, the situation is reversed, dh/dt = 0 m/sec and dv/dt = 11 /10 m/sec. This should suggest to you some ambiguity in the problem statement. Does it mean +2 m/sec or does it mean 2 m/sec in either direction? I think this is unclear. I would find all four solutions and decide later if the problem statement didn't mean some of them.

In any case, since we're talking about a circle, you should see that:

and

Where is the angular location of the passenger with reference to the center of the wheel, /2 being the vertical position and 0 being the full forward position.

Simply solving, then,

and

Produces 0.954, 2.188, 4.095, and 5.329. It's up to you to decide which are applicable, if any.

Clear as mud?