When Will Two Particles Converge in a Tricky Kinematics Problem?

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SUMMARY

The discussion focuses on determining the convergence time of two particles, A and B, separated by a distance 'l', where particle A moves north at a uniform velocity 'u' and particle B moves with speed 'v', always directed towards A. The problem requires an understanding of kinematics and calculus to analyze the curved trajectory of particle B. Given that the speed of B is greater than that of A (v > u), the solution involves calculating the time at which both particles meet using their velocity vectors and relative motion principles.

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  • Understanding of kinematics, particularly relative motion.
  • Proficiency in calculus, especially in dealing with curves and trajectories.
  • Familiarity with vector analysis and velocity components.
  • Basic knowledge of physics equations related to motion.
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  • Study the concept of relative velocity in kinematics.
  • Learn how to apply calculus to motion problems involving curves.
  • Explore vector decomposition techniques for analyzing motion.
  • Review advanced kinematics problems similar to the one discussed.
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Students studying physics, particularly those interested in kinematics, as well as educators and tutors looking for examples of motion problems involving calculus and vector analysis.

suryanarayana
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at an instant two particles, A and B are separated by 'l' distance. A particle is going north with a uniform velocity of u. and the speed of B is v. initially the velocity vectors are perpendicular. always velocity of B is aimed towards A . find when they converge.(meet)
(v>u)




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I don't know even how to start because the trajectory seems curved and seemed to need some higher math.
however I am well aquianited with calculus. but I just don't know how to use it here.
 
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