In outer space a rock whose mass is $3$ kg and whose velocity is $($:$-71,-96,95$:$)\frac{m}{s}$ strikes a piece of space junk whose mass is $10$ kg and whose velocity is $($:$-48,43,-49$:$)\frac{m}{s}.$ A $1$ kg piece of the rock breaks off and sticks to the space junk, and after the collision the rock has a velocity of $($:$49,-44,-39$:$)\frac{m}{s}.$