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For part b., It should be 4(1/2mv^2) not 4(1/2mv)^2 correct?

Hi waydezilla, you are quite right. The final answer is correct, but the working should show that $E_{k_2} = 4(\dfrac{1}{2}m(v_1)^2)$. Thanks for your sharp eye. I've added this video to the revision list.