Abaseball player runs 27.4 meters from the
batter’s box to first base, overruns first base by
3.0 meters, and then returns to first base.
compared to the total distance traveled by the
player, the magnitude of the player’s total
displacement from the batter’s box is
(1) 3.0 m shorter (3) 3.0 m longer
(2) 6.0 m shorter (4) 6.0 m longer

(2) 6.0 m shorte.

Explanation:

Total distance = Distance from batter’s base to first base + Distance covered in overrunning + Distance covered in returning to first base  

Total Distance = 27.4 + 3 + 3 = 33.4 m

Total displacement = Displacement from batter’s base to first base + Displacement covered in overrunning + Displacement covered in to returning first base  

The 2nd and 3rd term will have same magnitude but opposite direction so, they will cancel out each other. Hence,  

Total Displacement = 27.4 m  

Hence, displacement will be 6.0 m shorter than distance.