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

Question

A stone is projected from a point on the ground in such a way so as to hit a bird at height

3h

and could attain a maximum height

4h

above the ground. If at the instant of projection, the bird flies away horizontally with speed

10ms^{- 1}

& and the stone still hits the bird while descending,& then the horizontal velocity of stone& is

A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a

A stone is projected from a point on the ground in such a way so as to hit a bird at height 3h and could attain a

Quantrex Academy · Accepted Answer

Correct answer: B. 15ms^ - 1

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

A stone is projected from a point on the ground in such a way so as...

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