I'm not sure how to calculate the amplitude to find the velocity for biii
Joinedup had suggested the method that this question expects you to solve for maximum speed but if you still want to know how to find the “amplitude”, see below.
The “amplitude” can be obtained using Pythagoras’s theorem. When the girl is raised to 250 mm above its lowest position, imagine there is a right-angled triangle, with the hypo side as the distance you calculated in (i) and the horizontal side as the “amplitude” you want to find.
However, the “amplitude” may only help you get the max speed “approximately”.