Question

1. a dog walks 12 meters to the east and then 16 meters back to the west.

direction\tdistance (m)
dog moves east\t12 m
dog moves west
total distance travelled
direction\tdisplacement of each motion (m)
dog moves east
dog moves west\t-16 m
displacement of dog

Explanation:

Step1: Define distance and displacement

Distance is total path length, displacement is straight - line distance from start to end with direction.

Step2: Calculate total distance

The dog moves 12 m east and 16 m west. Total distance $d=12 + 16=28$ m.

Step3: Calculate displacement

Let east be positive. Displacement of east - ward motion $d_1 = 12$ m, west - ward motion $d_2=-16$ m. Net displacement $D=d_1 + d_2=12+( - 16)=-4$ m (negative means west direction).

Answer:

Direction	Distance (m)	Direction	Displacement of each motion (m)	Displacement of dog (m)
Dog moves west	16	Dog moves west	- 16
Total distance travelled	28