It is possible to project a particle with a given velocity in two possible ways so as to make it pass through a point at a distance r from the point of projection. The product of times taken to reach this point in the two possible ways is then proportional to

Question

Infinity Learn · Accepted Answer

The range of $$projectiler=u2sin$$⁡$$2$$θ$$g=2u2sin$$⁡θ$$cos$$⁡θgThe two possible angles of projection are θ and $$90$$∘−θ. The times of flight corresponding to these angles $$aret1=2usin$$⁡θgand    $$t2=2usin$$⁡$$90$$∘−θ$$g=2ucos$$⁡θg∴ $$t1t2=4u2sin$$⁡θ$$cos$$⁡θ$$g2=2rg$$ or  $$t1t2$$∝r

It is possible to project a particle with a given velocity in two possible ways so as to make it pass through a point at a distance r from the point of projection. The product of times taken to reach this point in the two possible ways is then proportional to

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