Battery to move snowboarder from rest to 3mph

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Hi, If I weigh 85kg, and I'm standing on a snowboard (rough dimensions 160cm x 40 cm) on snow, on the flat (no incline), what battery power would I need to get me from rest to 3mph and keep me there for say 100 metres, and how heavy would the battery need to be ? Please assume that the battery drives a motor which in turn drives two 'paddle-steamer' type wheels whose paddles dig in to the snow to propel me along.

Please let me know what other info you would need.

Thanks in advance,

Peter

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