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Airplanes A and B are flying with consta...

Airplanes `A` and `B` are flying with constant velocity in the same vertical plane at angles `30^(@)` and `60^(@)` with respect to the horizontal respectively as shown in figure . The speed of `A` is `100sqrt(3) m//s` . At time `t = 0 s`, an observer in `A` finds `B` at a distance of `500 m`. The observer sees `B` moving with a constant velocity perpendicular to the line of motion of `A` . If at `t = t_(0)`, A just escapes being hit by `B ,t_(0)` , A just escapes being hit by `B , t_(0)` in seconds is

Text Solution

Verified by Experts


`upsilon_(1)=upsilon_(2)cos 30^(@)`
`rArr 100sqrt3=upsilon_(2)xxsqrt3/2rArrupsilon_(2)=200m//s`
`:.t_(0)=d/(upsilon sin 30^(@))=500/(200xx1/2)=5s`
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