The final speed of puck A is 1.8 m/s and the final speed of puck B is 3.7 m/s.
The final speed of the pucks is determined by applying the principle of conservation of linear momentum.
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
0.025(5.5) + 0.05(0) = 0.025v₁ + 0.05v₂
0.1375 = 0.025v₁ + 0.05v₂
u₁ + v₁ = u₂ + v₂
5.5 + v₁ = 0 + v₂
v₁ = v₂ - 5.5
0.1375 = 0.025(v₂ - 5.5) + 0.05v₂
0.1375 = 0.025v₂ - 0.1375 + 0.05v₂
0.275 = 0.075v₂
v₂ = 0.275/0.075
v₂ = 3.7 m/s
v₁ = 3.7 - 5.5
v₁ = -1.8 m/s
Thus, the final speed of puck A is 1.8 m/s and the final speed of puck B is 3.7 m/s.
Learn more about conservation of linear momentum here: https://brainly.com/question/7538238