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Two bodies A and B are projected simulta...

Two bodies A and B are projected simultaneously from points X and Y as shown in the figure, with velocities `u_(A)` and `u_(B)` respectively.

Find the ratio of `(u_(A))/(u_(B))` for both the bodies to collide .

Text Solution

Verified by Experts

Let after time t, A and B collide For A and B to collide , `Y_(A)=Y_(B)`
Now, `Y_(A)=u_(A) sin 45^(@) xxt-(1)/(2) "gt"^(2)`
and `Y_(B)=u_(B)t-(1)/(2)"gt"^(2)`
`Y_(A)=Y_(B)`
`rArr u_(A)xx(t)/(sqrt2)-(1)/(2)"gt"^(2)=u_(B)t-(1)/(2)"gt"^(2)`
`rArr (u_(A))/(u_(B))=sqrt2`
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