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Two particles A and B are projected in t...

Two particles A and B are projected in the vertical plane with same initial velocity `u_(0)` fro part (0,0) and (l,-h) towards each other as shwon in figure
Minimum distance between particle A and B during motion

A

`l`

B

`h`

C

`sqrt(l^(2)+b^(2))`

D

`l+b)`

Text Solution

Verified by Experts

The correct Answer is:
B

The path of a projectile as observed by other projectile is a straight line.
`v_(A)=ucosthetahati+(usintheta-gt)hatj.V_(AB)==(2ucostheta)hati`
`V_(B)=-ucosthetahati+(usintheta-gt)hatj`
`a_(BA)=g-g=0`
The vertical component `u_(0)sintheta` will get cancelled. The relative velocity will only be horizontal which is equal to `2u_(0)costheta`
Hence, B will travel horizontally towards left w.r.t. A with constant speed `2u_(0)costheta` and minimum distance will be h.
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