Essential University Physics: Volume 1 (3rd Edition)

$v_f = 645\hat{i}+132\hat{j}$
We find the sum of the initial momentums: $P_0=32(580)\hat{i}+16(870)cos27\hat{i}+16(870)sin27\hat{j}$ $P_0=30,962\hat{i}+6319\hat{j}$ We divide this by the total final mass to find: $v_f = 645\hat{i}+132\hat{j}$