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A student starts at the origin and ends up at a position 500 meters north of the origin. She knows she walked 250 meters straight west, but then she was blindfolded and led to the final position . Assume she walked a straight path for the hidden leg of the trip. What displacement vector did she move? North square South square East square West square

Question

A student starts at the origin and ends up at a position 500 meters north of the
origin. She knows she walked 250 meters straight west, but then she was
blindfolded and led to the final position . Assume she walked a straight path for the
hidden leg of the trip. What displacement vector did she move?
North
square 
South
square 
East
square 
West
square

A student starts at the origin and ends up at a position 500 meters north of the origin. She knows she walked 250 meters straight west, but then she was blindfolded and led to the final position . Assume she walked a straight path for the hidden leg of the trip. What displacement vector did she move? North square South square East square West square

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QuintinaMaster · Tutor for 5 years

Answer

### North

Explain

## Step 1: Identify the known vectors<br />### The student walked 250 meters west and ended up 500 meters north of the origin. Represent these movements as vectors.<br />## Step 2: Determine the final position vector<br />### The final position vector is (0, 500) since the student is 500 meters north of the origin.<br />## Step 3: Calculate the hidden leg vector<br />### Subtract the known vector from the final position vector. The known vector is (-250, 0) since the student walked 250 meters west.<br />## Step 4: Compute the hidden leg vector<br />### The hidden leg vector is calculated as:<br />\[<br />\text{Final Position} - \text{Known Vector} = (0, 500) - (-250, 0) = (250, 500)<br />\]<br />## Step 5: Determine the direction of the hidden leg vector<br />### The hidden leg vector (250, 500) indicates movement 250 meters east and 500 meters north.
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