Question

a woman stands on the bank of a frozen lake with a dog by her side. she skims a bone across the ice at a speed of 3ms. the bone slows down with deceleration 0.4 ms square and the dog chases it with acce;eration 0.6 ms square. how far out from the bank does the dog catch up with the bone

Answer 1

S is the distance，then you know Conservation of energy
so we get 1/2mv square=ma S
9=0.4S so S=22.5m