I'd be very nervous about mounting a camera with moveable optics on a bike. I think it would be quite hard on the optics and the mechanical bits around it unless there was something to absorb shock. Mounting it on the body might be OK. I'd also be nervous because hardly any point and shoot cameras are sealed against dust, and I'd think a lot of it would get in the optics where you'd never get it out again.
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Work: the 8 hours that separates bike rides.