A stone is projected from a point on the ground in such a way so as to hit a bird at height 3 h and could attain a maximum height 4 h above the ground. If at the instant of projection, the bird flies

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A stone is projected from a point on the ground in such a way so as to hit a bird at height $3 h$ and could attain a maximum height $4 h$ above the ground. If at the instant of projection, the bird flies away horizontally with speed $10 m s^{- 1}$ and the stone still hits the bird while descending, then the horizontal velocity of stone is

TestHub · Accepted Answer

Particle taken t 1 time to reach from 0 to 3 h and also t 1 to reach from 3 h to 4 h and yet again t 1 time from 4 h to 3 h . ∴ v x 3 t 1 - 10 × 3 t 1 = v x t 1 ⇒ v x = 15 m s - 1

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