An object moves along the grid through the points A, B, C, D, E, and Fas shown below. Find the distance covered by the moving object.

The object moves 3 km to the East, turns North for 1 km, turns west for 1.5 km, moves

north 0.5 km, and finally turns east for 0.5 km.

Total distance = 6.5 km

Explanation:

Let the distance be denoted by the vectors drawn from A, B, C, D, E, and F.

Then the distance covered can be calculated by adding the vectors in the direction given.

Total distance = 3km + 1km+ 1.5km+ 0.5km+ 0.5km

Total distance = 6.5 km

If we were to find the displacement ( shortest distance) then the head to tail rule would be applied using the vectors.

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