Relative velocity between two bodies

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SUMMARY

The discussion focuses on calculating the relative velocity between two vessels, A and B. Vessel A sails at 11 knots southeast, while vessel B travels at 13 knots, 30 degrees east of north. The correct relative velocity of vessel A with respect to vessel B is determined to be 21.29 knots, directed at 14 degrees 47 minutes south of east. Participants emphasize the importance of vector components and trigonometric functions in solving such problems.

PREREQUISITES
  • Understanding of vector addition and subtraction
  • Knowledge of trigonometric functions for vector components
  • Familiarity with nautical terms and units, specifically knots
  • Ability to interpret angles in standard position
NEXT STEPS
  • Study vector addition techniques in physics
  • Learn how to resolve vectors into components using sine and cosine
  • Explore relative motion concepts in physics
  • Practice problems involving relative velocity in two-dimensional motion
USEFUL FOR

Students studying physics, particularly in mechanics, and anyone involved in navigation or maritime operations who needs to understand relative motion between moving bodies.

gkraju
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Homework Statement



A vessel is sailing with a velocity of 11 knots per hour in the direction southeast and a second vessel B is sailing with a velocity of 13 knoths per hour in a direction 30 degrees east of north. find the velocity of A relative to B.

Homework Equations





The Attempt at a Solution

 
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Why can't you make an attempt to solve the problem by drawing the two vectors in a paper so that it will help you to solve the problem
 
hi karthick
tried every possible way i mean

took the component of A in the direction using trignometric functions
but i couldn't get the answer as in textbook.
answer as i ntext book is
21.29 knots in the direction t4 deg 47 minutes south of east
 

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