水平方向:S=VcosCt+1/2At^2.1
豎直方向:H=VsinCt+1/2Gt^2.2
1*H-2*S得:
Vt(HcosC-SsinC)+1/2t^2(AH-GS)=0.3
3兩邊同時除以t^2得:
V/t(HcosC-SsinC)+1/2(AH-GS)=0
V/t=(GS-AH)/2(HcosC-Ssinc)
t=2V(HcosC-Ssinc)/(GS-AH).4
4帶入2得:
H=[2sinC(HcosC-Ssinc)/(GS-AH)]V^2+2G[(HcosC-Ssinc)/(GS-AH)]^2V^2
V^2={[2sinC(HcosC-Ssinc)/(GS-AH)]+2G[(HcosC-Ssinc)/(GS-AH)]^2}/H
V={[2sinC(HcosC-Ssinc)/(GS-AH)]+2G[(HcosC-Ssinc)/(GS-AH)]^2}/H開根號
願意的話自己化簡吧.
如果H=0,VsincC就是負的方程是一樣的;化簡不一樣而已.如果你連這種化解都不願意做,就不要問我了!我沒空.
至於A是負值怎麼會無解?S也可能為負.如果無解就表明題目條件本生就有誤,所以無解.
水平方向:S=VcosCt+1/2At^2.1
豎直方向:H=VsinCt+1/2Gt^2.2
1*H-2*S得:
Vt(HcosC-SsinC)+1/2t^2(AH-GS)=0.3
3兩邊同時除以t^2得:
V/t(HcosC-SsinC)+1/2(AH-GS)=0
V/t=(GS-AH)/2(HcosC-Ssinc)
t=2V(HcosC-Ssinc)/(GS-AH).4
4帶入2得:
H=[2sinC(HcosC-Ssinc)/(GS-AH)]V^2+2G[(HcosC-Ssinc)/(GS-AH)]^2V^2
V^2={[2sinC(HcosC-Ssinc)/(GS-AH)]+2G[(HcosC-Ssinc)/(GS-AH)]^2}/H
V={[2sinC(HcosC-Ssinc)/(GS-AH)]+2G[(HcosC-Ssinc)/(GS-AH)]^2}/H開根號
願意的話自己化簡吧.
如果H=0,VsincC就是負的方程是一樣的;化簡不一樣而已.如果你連這種化解都不願意做,就不要問我了!我沒空.
至於A是負值怎麼會無解?S也可能為負.如果無解就表明題目條件本生就有誤,所以無解.