Physics question... Father racing his son?

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Ryan

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"A father racing his son has one-third the kinetic energy of the son, who has half the mass of the father. The father speeds up by 1.0 m/s and then has the same kinetic energy as the son.

a.) What is the original speed of the father?

b.) What is the original speed of the son?"


I have no idea how to even BEGIN working this problem. I imagine the kinetic energy function, K=0.5mv^2, has to be used somehow, but I've been looking at this forever and don't know what to do. Can someone please, please help???
 
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