A cat jumps on the piano keyboard. It walks 27 keys to the right, 13 keys to the left, 18 keys to the right, 57 keys to the left and finally back to the right 33 keys befor it jumps back down.
What is the cats distance?
keys
What is the cats displacement and direction?
keys

Distance = 148 keys

Displacement = 8 keys to the right

Explanation:

DISTANCE:

For distance, we do not consider the direction. Therefore, the distance will be the sum of all keys travelled by the cat:

Distance = 27 keys + 13 keys + 18 keys + 57 keys + 33 keys

Distance = 148 keys

DISPLACEMENT:

For displacement we consider the right direction as positive and the left direct as negative:

Displacement = 27 keys - 13 keys + 18 keys - 57 keys + 33 keys

Displacement = + 8 keys

which means that net displacement is:

Displacement = 8 keys to the right

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because if the tool that you are using is not balanced it there would be false mass.