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8. A student is walking a path to determine a resulting displaceme nt. The student begins by walking 3 m east, then 5 m south, 3 m west, and 7 m south. Draw a vector diagram that shows the student's path.

Question

8. A student is walking a path to determine a resulting
displaceme nt. The student begins by walking 3 m east, then
5 m south, 3 m west, and 7 m south. Draw a vector diagram
that shows the student's path.

8. A student is walking a path to determine a resulting displaceme nt. The student begins by walking 3 m east, then 5 m south, 3 m west, and 7 m south. Draw a vector diagram that shows the student's path.

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FinlayMaster · Tutor for 5 years

Answer

1. Start at the origin (0,0).<br />2. Walk 3 meters east: (3,0).<br />3. Walk 5 meters south: (3,-5).<br />4. Walk 3 meters west: (0,-5).<br />5. Walk 7 meters south: (0,-12).<br /><br />The resulting displacement vector is (0, -12), meaning the student ends up 12 meters south of the starting point.<br /><br />To visualize this, you can draw a coordinate system and plot the points in sequence, connecting them with arrows to show the path.

Explain

To solve this problem, we need to represent the student's movements as vectors on a coordinate system. Each direction (east, south, west, north) corresponds to a specific axis movement. Summing these vectors will show the overall displacement.
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