Question

2 girls run from point A to B on the circular track. one runs along the track and the other along the diameter of the track. A and B are 2 diametrically opposite points. calculate the ratio of magnitude of their displacement.

Answer 1

The magnitude of their displacement will be 1:1.
Since A and B are diametrically opposite points, AB is the diameter of the circular track.

Displacement is the shortest distance between the initial point and the final point.

As we can see, the displacement is the diameter of the circular track for both the girls, the value of diameter is the same as it is the diameter of one circle.

Hence, the ratio of magnitude of displacements:-

Displacement 1 : Displacement 2 = 1:1