Which is traveling faster, a car with a velocity of \( \vec{v}_1=6\vec{i}-8\vec{j} \) m/s, or a car with a velocity vector of \( \vec{v_2}=9 \vec{i} \) m/s?
5th Ed: #21
Solution:
The speed of first car is \( |\vec{v}_1 |= \sqrt{36+64}=10 \) m/s
The speed of second car is \( |\vec{v}_2 | = \sqrt{81}=9 \) m/s
The first car is traveling faster.