Essential University Physics: Volume 1 (4th Edition)

$\vec{v}=4.4\hat{i}+3.0\hat{j}$
We know that momentum is conserved. We assume the astronaut is initially at rest. We first find the final speed of the astronaut: $\vec{v}=-.85cos(20)\hat{i}-.85sin(20)\hat{j}$ $\vec{v}=-.8\hat{i}-.29\hat{j}$ Thus, we use conservation of momentum: $(5.8)v_3 +(-.8\hat{i}-.29\hat{j})(60)+1.6(14)\hat{i}=0$ $\vec{v}=4.4\hat{i}+3.0\hat{j}$