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A squirrel runs 7 m due east, then 10 m due south, and finally 7 m due west. What is the displacement of the squirrel from its initial position? Elimination Tool Select one answer A 10 m due north B 10 m due south C 0m D 7 mdue east E 7 m due west F 24 m

Question

A squirrel runs 7 m due east, then 10 m due south, and finally 7 m due west.
What is the displacement of the squirrel from its initial position?
Elimination Tool
Select one answer
A 10 m due north
B 10 m due south
C 0m
D 7 mdue east
E 7 m due west
F 24 m

A squirrel runs 7 m due east, then 10 m due south, and finally 7 m due west. What is the displacement of the squirrel from its initial position? Elimination Tool Select one answer A 10 m due north B 10 m due south C 0m D 7 mdue east E 7 m due west F 24 m

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HollyProfessional · Tutor for 6 years

Answer

B \(10 \, \text{m} \, \text{due south}\)

Explain

## Step 1: Identify the directions and distances of the squirrel's movements.<br />- Runs 7 m due east.<br />- Runs 10 m due south.<br />- Runs 7 m due west.<br /><br />## Step 2: Calculate the net displacement in the east-west direction.<br />- East movement: \(+7 \, \text{m}\)<br />- West movement: \(-7 \, \text{m}\)<br />- Net east-west displacement: \(7 \, \text{m} - 7 \, \text{m} = 0 \, \text{m}\)<br /><br />## Step 3: Calculate the net displacement in the north-south direction.<br />- South movement: \(-10 \, \text{m}\)<br />- No north movement.<br />- Net north-south displacement: \(-10 \, \text{m}\)<br /><br />## Step 4: Combine the net displacements to find the overall displacement.<br />- Since the net east-west displacement is \(0 \, \text{m}\), the overall displacement is solely in the south direction.<br />- The magnitude of the displacement is \(10 \, \text{m}\).<br /><br />## Step 5: Determine the direction of the overall displacement.<br />- The direction is due south since the net displacement in the north-south direction is \(-10 \, \text{m}\).
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