解:?$(1)$?將點(diǎn)?$A(40,$??$1)$?代入?$t=\frac kv $?得,?$k=40$?
令?$t=0.5,$??$0.5=\frac {40}m,$??$m=80$?
?$ (2)$?由?$(1)$?可得,?$t=\frac {40}v$?
當(dāng)?$v=60$?時(shí),?$t=\frac 23h=40 \mathrm {\mathrm {\ \mathrm {min}}}$?
∴汽車通過該路段最少需要?$40 \mathrm {\mathrm {\ \mathrm {min}}}$?