A baseball 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

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.

fichoh fichoh · Answer 2 · 2021-10-28T14:42:32-04:00

Distance is a measure of the length of space covered over a certain period of time. While displacement is the change in position of an object from its starting point. Displacement is 6.0 meters shorter than distance.

Starting position = batter'box

Batter's box to first base = 27.4 meters

Distance beyond first base = 3 metres

Final position = first base

Total distance covered :

(Batter's box - > first base) + (beyond first base) + (return to first base)

(27.4 + 3 + 3) = 33.4 meters

Total Displacement :

(Batter's box - > first base) + (beyond first base) - (return to first base)

(27.4 + 3 - 3) = 27.4 meters

Difference in magnitude of Distance and Displacement :

33.4 - 27.4 = 6.0 meters

Therefore, displacement is 6m shorter

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