Question

Four particles situated at the corners of a square of side â€a’ move at a constant speed v. Each particle maintains a direction towards the next particle in succession. Calculate the time particles will take to meet each other.

Answer 1

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Answer 2

Answer:

Here, as in the question the 4 particles are moving simultaneously behind each other for a n sided polygon separated by a distance d. Then we use the formulae to find the time at which they will meet.

t={d}{v(1-cos{2pie}{n})

Where t is the time of meeting, v is the velocity of the approach of particles.

So, as in this case it is a square then n=4.

t={d}{v(1-cos{2pie}/{4}) }

t=d/v(As cos90 is zeo).