Give an example in which there are clear distinctions among distance traveled, displacement, and magnitude of displacement. specifically identify each quantity in your example.

The example I've given is shown as an illustration in the picture. Suppose a jogger covers 2 km as he heads to the east. Then, he heads up north for another 1.5 km. Now, if you are to find the distance, you simply have to take the sum.

Distance = 2 + 1.5 = 3.5 km

If you are to find the displacement, you find the distance from the starting point to the end point, represented by the red arrow. Using the pythagorean theorem,

Displacement = √(2 km)² + (1.5 km)² = 2.5 km

If you are to find the magnitude of displacement, this is equivalent to distance. So, it is equal to 3.5 km. The displacement is a vector quantity, which presents the magnitude and the direction. The magnitude of the displacement does not take into account the direction of motion, just the total distance covered.