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Problem $13\mathrm{.}170$ Mars pathfinder cushioned landing Dependet Multi $-$part$-$ assign all parts

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part. The Mars Pathfinder spacecraft used large airbags to cushion its impact with the planet's surface when landing. Assuming the spacecraft had an impact velocity of $\backslash ($ v$\_\{$O$\}=22\mathrm{.}00\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ at an angle of $\backslash (45^\{\backslash$circ$\}\backslash )$ with respect to the horizontal, the coefficient of restitution is $0\mathrm{.}85.$ The friction is neglected and the acceleration due to gravity on Mars is $\backslash (3\mathrm{.}73\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash ).$

Problem $13\mathrm{.}170.$b Mars pathfinder length of bounce

Determine the length of the first bounce.

The length of the first bounce is $]$ m $.$