infinite chase

Classical Mechanics Level 3

Point A moves uniformly with velocity v so that the vector v ⃗ \vec{v} is continually ”aimed” at point B which in its turn moves rectilinearly and uniformly with velocity u . At the initial moment of time v ⃗ ⊥ u ⃗ \vec{v} \perp \vec{u} and the points are separated by a distance l. if v=u then find the distance between them after a very long time

l/4 l/2 l/8 l

Aravindh D Schrösolver by Aravindh D Schrösolver , 23, India

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2 solutions

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This belongs to the class of "Pursuit Curve" problems, discussed at length here .

The special case where u = v u = v is dealt with on the third page of the link. As t → ∞ t \rightarrow \infty the distance between the two particles goes to half the original distance of separation.

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it,s highly mathematical,,can we have some answers through physics........so that commoners understand it

Aravindh D Schrösolver - 6 years, 9 months ago

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