A child and sled with a combined mass of 45.0 kg slide down a frictionless hill. If the sled starts from rest and has a speed of 8.0 m/s at the bottom, what is the height of the hill (include units)?

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  1. since the p.e at the top of the hill was converted to k.e at the bottom:v^2=2gh 8^2=2*10h 64=20h h=3.2m

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