如圖,在直角梯形OABC中,OA∥CB,A、B兩點(diǎn)的坐標(biāo)分別為A(15,0),B(10,12),動(dòng)點(diǎn)P、Q分別從O、B兩點(diǎn)出發(fā),點(diǎn)P以每秒2個(gè)單位的速度沿OA向終點(diǎn)A運(yùn)動(dòng),點(diǎn)Q以每秒1個(gè)單位的速度沿BC向C運(yùn)動(dòng),當(dāng)點(diǎn)P停止運(yùn)動(dòng)時(shí),點(diǎn)Q也同時(shí)停止運(yùn)動(dòng).線(xiàn)段OB、PQ相交于點(diǎn)D,過(guò)點(diǎn)D作DE∥OA,交AB于點(diǎn)E,射線(xiàn)QE交x軸于點(diǎn)F.設(shè)動(dòng)點(diǎn)PQ運(yùn)
動(dòng)時(shí)間為t(單位:秒).
(1)當(dāng)t為何值時(shí),四邊形PABQ是等腰梯形,請(qǐng)寫(xiě)出推理過(guò)程;
(2)當(dāng)t=2秒時(shí),求梯形OFBC的面積;
(3)當(dāng)t為何值時(shí),△PQF是等腰三角形?請(qǐng)寫(xiě)出推理過(guò)程.