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Beginning the journey at the origin, and considering the directions and 5 kM distance travelled in each direction, the co-ordinates of points A through J can be worked out by adding/subtracting sine and cosine functions of the subtended angles, multiplied by 5 in each position.

These coordinates are as follows:

Point x-coordinate y-coordinate --------- ---------------- -------------------

A 1.2941 4.8296

B 3.0042 0.1312

C 8.0042 0.1312

D 3.6741 -2.3688

E 5.3842 -7.0673

F 1.5539 -3.8534

G -1.6600 -7.6836

H -0.3659 -2.8540

I -4.6960 -0.3540

J 0.3040 -0.3540

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Finally, the overall displacement (i.e. distance between origin, O and final point, J) is obtained from the two-point distance formula:

OJ`= [sqrt((0.3040-0)^2+(-0.3540-0)^2)] =0.467` kM

Distance travelled = 5*10=50 kM.

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