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A man moves 6.0m East and then 10.0m N30ºE. How far is he from his...

Physics
JAMB 2025

A man moves 6.0m East and then 10.0m N30ºE. How far is he from his starting point?

  • A. 15.0m
  • B. 17.0m
  • C. 14.0m
  • D. 12.0m
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Correct Answer: Option C
Explanation

The two displacements are 6.0 m East and 10.0 m at N30ºE.
The angle between East and N30ºE is 60°.

Using the cosine rule:

R\(^2\) = 6\(^2\) +10\(^2\) +2(6)(10)cos60º

 R\(^2\) = 36 + 100 +120 (0.5) = 196

R = \(\sqrt{196}\) = 14.0m

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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