an ant walk 4cm east get some rest and continues for another 3cm in the same direction what is the displacement traveled by the ant?

There is no deplacement, the ant was walking in the same direction. I don't know what you mean by displacement.

To find the displacement traveled by the ant, we need to determine the net distance and direction from the starting point to the ending point.

In this case, the ant initially walked 4cm east. Since distance is a scalar quantity, we can simply add the magnitudes of the distances traveled. So far, the ant has traveled a distance of 4cm.

After getting some rest, the ant continues for another 3cm in the same direction (east). Again, we add the magnitudes of the distances traveled. So, the total distance traveled is 4cm + 3cm = 7cm.

Displacement, however, is a vector quantity that includes distance and direction. To calculate displacement, we need to consider the net distance and the direction from start to end.

In this case, the ant walked east, i.e., in the positive x-direction. Therefore, the displacement would be 7cm east, or simply +7cm.

Thus, the displacement traveled by the ant is +7cm east.