解??$:(2)$??當??$0<t≤4$??時,??$P$??在線段??$AB$??上,此時??$CQ=2t,$????$PB=8-2t$??
??$∴s=\frac {1}{2}×2t×(8-2t)=2t^2+8t.$??
當??$t>4$??秒時,??$P$??在線段??$AB$??得延長線上,此時??$CQ=2t,$????$PB=2t-8$??
??$∴s=\frac {1}{2}×2t×(2t-{8})=2t^2-8t,$??
??$∵S_{△ABC}=\frac {1}{2}AB·AC=32$??
∴當??$t≤4$??時,??$S_{△PCQ}=-2t^2+8t=32$??
整理得??$t^2-4t+16=0$??無解,
當??$t>4$??時,??$S_{△PCQ}=2t^2-8t=32$??
整理得??$t^2-4t-16=0$??解得??$t=2±2\sqrt{5}($??舍去負值)
∴當點??$P_{運動}(2+2\sqrt{5})$??秒時,??$S_{△PCQ}=S_{△ABC}.$??