Each crate moves from position 1, to position 2 to position 3. All of the crates are identical. the coordinate values given are in meters.

Rank A through F in order from least to greatest, on the basis of the displacement from the position 1. If any crates traveled the same displacement, put them next to the same number. Be careful because sometimes the conveyor belt reverses direction, making position 2 further to the right than position 3.

A) Position 1 = 0 m
position 2 = 3 m
position 3 = 6 m

B) position 1 = 5 m
Position 2 = 12 m
position 3 = 15 m

C) position 1 = -5 m
position 3 = 3 m
position 2 = 6 m

D) position 1 = 0 m
position 3 = 3 m
position 2 = 6 m

E) position 1 = -10 m
position 2 = 0 m
position 3 = 6 m

F) position 3 = 0 m
position 2 = 3 m
position 1 = 6 m

for this same table can you also find the distance.

for this part i found these numbers but not sure:

A) 6 m

B) 10 m

C) 14 m

D) 9 m

E) 16 m

F) 6 m

I couldn't find the answers for displacement the answers i gave were for distance.

I am really confused about how to find them.

Thanks!

To find the displacement for each crate, you need to calculate the difference between the final position (position 3) and the initial position (position 1).

Let's go through each given scenario and calculate the displacements:

A) Displacement: 6 m - 0 m = 6 m
B) Displacement: 15 m - 5 m = 10 m
C) Displacement: 3 m - (-5 m) = 8 m
D) Displacement: 3 m - 0 m = 3 m
E) Displacement: 6 m - (-10 m) = 16 m
F) Displacement: 0 m - 6 m = -6 m

Now, let's arrange the crates in order of least to greatest displacement:

F) -6 m
D) 3 m
A) 6 m
C) 8 m
B) 10 m
E) 16 m

Note that crate F has a negative displacement because it moved backwards from position 1.

Now, let's calculate the distances traveled by each crate. The distance is the total path length traveled by the crate, regardless of direction.

A) Distance: |6 m - 0 m| = 6 m
B) Distance: |15 m - 5 m| = 10 m
C) Distance: |6 m - (-5 m)| = 11 m
D) Distance: |6 m - 0 m| = 6 m
E) Distance: |6 m - (-10 m)| = 16 m
F) Distance: |6 m - 0 m| = 6 m

Now, let's arrange the crates in order of least to greatest distance:

A) 6 m
F) 6 m
D) 6 m
B) 10 m
C) 11 m
E) 16 m

So the final order for displacement and distance would be:

Displacement: F, D, A, C, B, E
Distance: A, F, D, B, C, E

I hope this clears up the confusion! Let me know if you have any further questions.