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Let A be a point at the origin of a plane and B(0;50). A moves along the Ox axis while B moves toward A. The rate which A moves is 0.5 unit per second while the rate which B moves is 3 units per second. Find their collapse point.

I'm aware that should we form the locus of B as a curve, the tangent of the curve at any given point will cross the Ox axis at the point A at that respective moment.

However I can't go further with this. Please give me a hint. Any help is appreciated.

ElementX
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    Split the B move into two vectors - toward and normal to the direction to A. Write it as functions of A and B location with time. – Moti Aug 30 '18 at 20:02
  • Look up the tractrix for some ideas on how to attack this. – amd Aug 30 '18 at 23:18

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