Answer:
[tex]V=(54i) \ mph[/tex]
Step-by-step explanation:
According to the problem, the hot-air ballon and the wind are movind in the same direction, which means the component form of the velocity of the ballon is the net vector between both velocities.
Basically, the net velocity is
[tex]v_{net}=31 + 23 = 54 mph[/tex]
Because both velocities have the same direction.
Assuming they are moving in a horizontal direction, the component of this velocity is
[tex]V=(54i) \ mph[/tex]
