whilst she is hooked up to the drip she will be probably attached to a monitor too. It will be possible to mobilise from this position but she will be limited to hands and knees on the bed, sitting on a ball beside the bed, etc. Some midwives are less happy unless she is lying on her back but an induced labour is harder than a natural one and lying no her back will make it more painful still, so insisting on trying different positions will help her avoid an epidural (if this is what she wishes).

Also some people (and I am by no means encouraging this) encourage the labouring woman to frequently pee. This means being unhooked from the CTG (but usually not the drip) and mobilising all the way to the loo (hopefully having a few lovely contractions on the way). Personally if I was being induced I would feel the need to pee every 15 minutes to half an hour