A 2.0kg space probe is travelling 10m/s due east. A first thruster firing changes its velocity to 8.0m/s due north. A second firing then gives it a velocity of 6.0m/s directed 45∘ south of west. What is the magnitude of the total change in momentum produced by the two firings?
a) 25.6 kgm/s
b) 32.0 kgm/s
c) 29.7 kgm/s
d) 14.9 kgm/s