Vvoe-kt/m, y=(mg /k)(l-e-ktm),V,=0 →x-x。=v,e-kmdt=(mvg)(1-ekm) y-yo=t(mg/k)(1-e-kt/m )dt = mg t/k-m2g/k2(1-e-kt/m) →z-zn=「t0dt=0 运动方程:x=(mvg)(1-ekm) y=mg t/k-mg/k(1-e-ktm) z=0 kt/m=-In( 1-kx/mvo) 轨迹方程:y=-gln(1-kx/mv)-mgx/kv z=0vx = vo e - kt/m ，vy = (mg /k)( 1- e - kt/m ) ，vz = 0 → x - xo = ∫o t vo e - kt/m dt = (mvo /g)( 1- e - kt/m ) → y - yo = ∫o t (mg /k)( 1- e - kt/m ) dt = mg t /k - m2g /k2 (1- e - kt/m ) → z - zo = ∫o t 0 dt = 0 运动方程: x = (mvo /g)( 1- e - kt/m ) y = mg t /k - m2g /k2 (1- e - kt/m ) z = 0 → kt/m = - ln( 1-kx/mvo ) 轨迹方程: y = - g ln( 1-kx/mvo ) - mg x / kvo z = 0