From an elevated point A , a stone is projected vertically upwards when the stone reaches a distance h below A, its velocity is double of what it was at a height h above A the greatest height attained by the stone is
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Let initial velocity = u
Therefore at point 'P', AP = h
At point Q, V₂²-u² = 2 (-g)(-h) = +2gh
As VQ = 2Vp, so
4Vp²-u² = 2gh
4[u²-2gh]-u² = 2gh
²-8gh-u² = 2gh 4u².
3u² = 10 gh
u² = (10/3)gh
But 0²-u²=-2gH-(4) \2gH = (10/3)gh
H = (5/3)h
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