Homework $3$ Begin Date: $4/19/202112$:$01$:$00$ AM $-$ Due Date: $4/26/202111$:$59$:$00$ PM End Date: $4/26/202111$:$59$:$00$ PM $(10\backslash \%)$ Problem $6$: You are standing on a train station platform as a train goes by close to you. As the train approaches, you hear the whistle sound at a frequency off$1=99$Hz$.$ As the train recedes, you hear the whistle sound at a frequency off$2=71$Hz$.$ Take the speed of sound in air to bev$=340$m$/$s$.$ Randomized Variables $\backslash [\backslash$begin$\{$array$\}\{$l$\}$ f$\_\{1\}=99\backslash$mathrm$\{$~Hz$\}\backslash \backslash$ f$\_\{2\}=71\backslash$mathrm$\{$~Hz$\}\backslash$end$\{$array$\}\backslash ]25\%$Part $($a$)$ Find an equation for the speed of the sound sourcevs$,$ in this case it is the speed of the train. Express your answer in terms off$1,$f$2,$ and $\backslash [$ v$\_\{$s$\}=\backslash ]$ Grade Summary Deducticns Potential Submissions Artempts remaini $(090$ per antempt$)$ detailed view $1$

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Hints: $2$ for a$0\%$deduction. Hints remaining:$0$Feedback:$0\%$deduction per feedback $-$Use the Doppler shift formula for both the approaching situation and the receding. $-$Eliminate the unknown variables to find the speed$\mathrm{.}25\%$Part $($b$)$ Find the numeric value, in meters per second, for the speed of the train$\mathrm{.}25\%$Part $($c$)$ Find an equation for the frequency of the train whistlefS$("$s$"$ is for "source"$)$ that you would hear if the train were not moving. Express your answer in terms off$1,$f$2,$ andv$\mathrm{.}25\%$Part $($d$)$ Find the numeric value, in hertz, for the frequency of the train whistlefs$$that you would hear if the train were not moving.