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1. Distance  = 5 cm

Displacement = 1 cm

2. Distance = 7 cm

Displacement = 1 cm

3. Distance = 5 cm

Displacement = -1 cm

4. Distance  = 6 cm

Displacement = -2 cm

5. Distance  = 4 cm

Displacement = 0 cm

Explanation:

The distance an object travels is a measure of the total ground cobpvered bybthe object without regard to the direction of motion. It is a scalar quantity as it only takes into account magnitude but not the direction of a quantity.

Displacement however, is a measure of how far away or apart an object is from its starting position.  It a vector quantity as it takes into account both the magnitude and direction in its measurement.

From the attachment provided, considering forward direction as positive and reverse as negative :

1. When a object moves from point 1 to point 4 and reverses to point 2.:

Distance  = from 1 to 4 = 3 cm; from 4 back to 2 = 2 cm;  3 + 2 = 5 cm

Displacement = from 1 to 4 = +3 cm; from 4 back to 2 = -2 cm;  3 - 2 = 1 cm

2. When an object moves from point 1 to 5 and reverses to 2:

Distance = from 1 to 5 = 4cm; from 5 back to 2 = 3 cm; 4 + 3 = 7 cm

Displacement = from 1 to 5 = +4 cm; from 5 back to 2 = -4 cm;  4 - 3 = 1 cm

3. When an object moves from point 1 to 3 and then reverses to 0.

Distance  = from 1 to 3 = 2 cm; from 3 back to 0 = 3 cm;  2 + 3 = 5 cm

Displacement = from 1 to 3 = +2 cm; from 3 back to 0 = -3 cm;  2 - 3 = -1 cm

4. When an object moves from point 3 to 5 and then reverses to 1:

Distance  = from 3 to 5 = 2 cm; from 5 back to 1 = 4 cm;  2 + 4 = 6 cm

Displacement = from 3 to 5 = +2 cm; from 5 back to 1 = -4 cm;  2 - 4 = -2 cm

5. When an object moves from point 2 to 4 and then reverses to 3.

Distance  = from 2 to 4 = 2 cm; from 4 back to 2 = 2 cm;  2 + 2 = 4 cm

Displacement = from 2 to 4 = +2 cm; from 4 back to 2 = -2 cm;  2 - 2 = 0 cm

one state would change   like louisiana to texas. thats a change

explanation:

a:

by the combination of an unlimited number of elements