Two persons (A and B) face to face apart from each other S (m) from nose to nose

Question

Two persons (A and B) face to face apart from each other S (m) from nose to nose walk towards each other in a straight line. person A moves with speed v (m/s) and Person B moves with speed v (m/s). A bee is in between the two persons flying from the nose of Person A to the nose of Person B and back and forth continuously with speed 2v (m/s), twice the speed of the two persons. Assme that we do not consider the bee's mas and length, and assume its just a particle.

A. What is the bee's total distance traveled when the noses of the people crash?

B. How many times can the bee fly back and forth before the two persons crash?

C. Can the bee fly infinite times before the two persons crash?

Explanation / Answer

as the persons are approaching each other with 2v velocity and bee also flies for the same time with 2v speed so the bee also covers the same distance that is S meters.

the bee can touch them infinite times as when they just come to approach for the destination the bee can simaltaneously touch both the persons giving infinite trips on her name.

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