On a frictionless horizontal air table, puck $A($with mass $0\mathrm{.}255$ kg $)$ is moving toward puck $B($with mass $0\mathrm{.}367$ kg $),$ which is initially at rest. After the collision, puck A has velocity $0\mathrm{.}116\frac{m}{s}$ to the left, and puck $B$ has velocity $0\mathrm{.}652\frac{m}{s}$ to the right.

Part A

What was the speed $v_{Ai}$ of puck A before the collision?

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Part B

Calculate $K,$ the change in the total kinetic energy of the system that occurs during the collision.

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$K=$