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I think that it would be a mistake to try to get to Norwich on the first night.
The first night on a hire boat is, for me, the hardest. I can never remember where I put the milk or the tea bags when we piled everything on board. So I prefer not to have to cover great distances on day 1.
I'd recommend a gentle run upriver - it's really nice up there - but stop early, and then go up into Norwich on the next day.