What is the magnitude of the ant's displacement relative to its - ProProfs Discuss
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What is the magnitude of the ant's displacement relative to its original position?

What is the magnitude of the ant's displacement relative to its original position?

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An ant on a picnic table travels 3.0*10^1 cm eastward, then 25 cm northward, and finally 15 cm westward.

Asked by Misstrey, Last updated: Nov 19, 2024

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2 Answers

Barry Mclean

Barry Mclean

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Barry Mclean
Barry Mclean, Sales Manager, MBA, Ewa

Answered Apr 03, 2019

29 cm is the right answer to this problem. To get the magnitude, first, we add all the distances or vectors covered by the ant. So, 30 cm East plus 25 cm North plus 15 cm West and we get 70 cm. That is the total distance covered by the ant from its original point to its final location.

Now, to get the magnitude, use the formula: square root of (15^2+25^2). It will be the square root of (225+625) equals the square root of 850. And lastly, get the square root of 850 that is 29.2 or 29 cm. This means that the distance between point A to point B (final point) is 29 cm.

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misstrey

misstrey

misstrey
Misstrey

Answered May 05, 2018

29 cm
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