a) x₁=h-v₀₁t-gt²/2=h-gt²/2
x₂=v₀₂t-gt²/2
x₁=0=>h=gt²/2<=>20=10t²/2=>t²=4=>t=±√4=±2
t>0=>t=2 s
x₁=x₂=>h-gt²/2=v₀₂t-gt²/2=>v₀₂t=h=>v₀₂=h/t=20/2=10 m/s
b) v²=v₀₂²-2gh₂<=>0²=10²-2*10h₂<=>2h₂=10=>h₂=10/2=5 m
c) v₁²=v₀₁²+2gh=0²+2*10*20=400=>v₁=±√400=±20 m/s
v₁>0=>v₁=20 m/s
v₂²=v²+2gh₂=0²+2*10*5=100=>v₂=±√100=±10 m/s
v₂>0=>v₂=10 m/s