The total distance and displacement for your walk to the bus stop can be calculated as follows:
Total Distance:
To find the total distance, you can simply add the distances traveled in each direction. You walked 6 blocks East and 8 blocks South, so:
Total Distance = Distance East + Distance South
Total Distance = 6 blocks + 8 blocks
Total Distance = 14 blocks
So, the total distance you walked to the bus stop is 14 blocks.
Displacement:
Displacement is the shortest distance between the starting point and the ending point in a straight line. To find the displacement, you can use the Pythagorean theorem because your path forms a right triangle (6 blocks East, 8 blocks South).
Displacement = √(Distance East^2 + Distance South^2)
Displacement = √(6^2 + 8^2)
Displacement = √(36 + 64)
Displacement = √100
Displacement = 10 blocks
So, the displacement of your walk to the bus stop is 10 blocks. This means that if you could walk in a straight line from your starting point to the bus stop, you would travel a distance of 10 blocks.