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.
mâuâ + mâuâ = mâvâ + mâvâ
0.025(5.5) + 0.05(0) = 0.025vâ + 0.05vâ
0.1375 = 0.025vâ + 0.05vâ
uâ + vâ = uâ + vâ
5.5 + vâ = 0 + vâ
vâ = vâ - 5.5
0.1375 = 0.025(vâ - 5.5) + 0.05vâ
0.1375 = 0.025vâ - 0.1375 + 0.05vâ
0.275 = 0.075vâ
vâ = 0.275/0.075
vâ = 3.7 m/s
vâ = 3.7 - 5.5
vâ = -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