a$)$ Calculate the initial Kinetic Energy, using Eq$.5\mathrm{.}16,$ and the final Kinetic Energy, using both

Eq$.5\mathrm{.}17$ and Eq$.5\mathrm{.}18.$ How do the two final Kinetic Energy values obtained using the latter

two equations compare with each other? Explain your reasoning.

$($b$)$ Determine the amount of Kinetic Energy lost in the collision $($your answer should be expressed in

Joules$)$ and explain what happened to it$.$

$($c$)$ In this case, did you have an inelastic collision or a perfectly inelastic collision? Show how you

came to your conclusion. Which of the two types of collisions, an inelastic collision or a perfectly

inelastic collision, would have a smaller final Kinetic Energy? Explain your logic.

$($d$)$ Calculate the coefficient of restitution,e $,$ for this case. Is the resultant value consistent with the

definition ofe $?$ Justify your answer