由式1和3得 y=v0²t²/2h,代入式2,两边各乘以2h得
4h²-v0²t²=ght²
上式可得t²=4h²/(gh+v0)
由式4得,1/2mv²=1/2m(v0²+2g×1/2gt²)=所求结果.