A body is projected horizontally from certain height.After sqrt(3) seconds its direction of motio makes 60^(@) with the horizontal.Then its initial velocity of projection is (in ms^(-1) )
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After ./3 s the vertical velocity will be got by using v = u + g t
Here u = 0, t = ./3
So v = ./3 g m/s ----(1)
Let V be the velocity after ./3 sec
Then as it inclines at 60 deg with horizontal its horizontal component = V cos 60 = 1/2 * V
Vertical component = V sin 60 ---(2)
(1) and (2) represent the same
So equating V sin 60 = ./3 g
Or V = 2 g ( since sin 60 = ./3 /2)
You are sure that the horizontal component always remain the same.
Hence the horizontal velocity of projection = 1/2 * 2g = g m/s
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hope it will help you mate
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