Final answer:
The distance moved by the quarterback is 9.5 meters. The magnitude of the displacement is 7.4 meters and the direction of the displacement is southward.
Step-by-step explanation:
The distance moved by the quarterback can be determined by adding the magnitudes of the displacements in the two directions:
Distance moved = magnitude of northward displacement + magnitude of southward displacement
Distance moved = 2.1 meters + 7.4 meters = 9.5 meters
The magnitude of displacement can be determined by subtracting the final position from the initial position:
Displacement = final position - initial position
Displacement = -7.4 meters (southward)
Since the quarterback first moved northward and then southward, the direction of the displacement would be southward with a magnitude of 7.4 meters.