The total displacement of the ponies in the new pasture is 20m in the East direction.
The change in position of an object is measured by two physical quantities namely Distance and Displacement.
Distance is the total path traveled by the object. It is a scaler quantity. It can never be zero for a moving object. Also, its value can never be negative.
Displacement is the length of the shortest path connecting the initial and final position of the object. It is a vector quantity. Its value can be negative or zero for a moving object.
Given in the question, the pony moves 40m in the North direction and 40m in the South direction. These Directions are opposite to each other and cancel out each other. So the net displacement is only due to the movement of 20m in the East direction.
So Total Displacement = (40m North) - (40m South) + (20m East)
Total Displacement = 20m East
Hence, the total displacement of the ponies in the new pasture is 20m in the East direction.
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