$3.)$ After throwing a paper airplane, you identify a brief period where the plane was flying in a perfect horizontal line, meaning that the lift force perfectly balanced the plane's weight. This period lasted for about $1\mathrm{.}5$ seconds, and in that time the plane traveled $4\mathrm{.}5$ meters. After it landed, you found the plane's mass to be $5\mathrm{.}4$ grams, and the planform wing area was $227$ square centimeters. Assuming the density of air was $\backslash (1\mathrm{.}2\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ),$ what was the lift coefficient of the wings during this period of horizontal flight? $(10$ points$)$