a) v₁²=v₀₁²+2gh₁=0²+2*10*50=1000=>v₁=±√1000=±31,62 m/s
v₁>0=> v₁=31,62 m/s
v₁=v₀₁+gt<=>31,62=0+10t=>t=3,162 s
b)h=h₁-h₂=50-10=40 m
x₂=h+v₀₂t-gt²/2
x₁=h₁-gt²/2
x₁=x₂=>h+v₀₂t-gt²/2=h₁-gt²/2<=>h+v₀₂t=h₁<=>40+3,162v₀₂=50<=>3,162v₀₂=10=>v₀₂=3,16 m/s
c) v₁=31,62 m/s
v₂²=v₀₂²+2gh=3,16²+2*10*40=9,98+800=809,98=>v₂=±√809,98=±28,46 m/s
v₂>0=>v₂=28,46 m/s
