Hard

Question

A stone is projected horizontally with speed v from a height h above ground. A horizontal wind is blowing in direction opposite to velocity of projection and gives the stone a constant horizontal acceleration f (in direction opposite to initial velocity). As a result the stone falls on ground at a point vertically below the point of projection. Then the value of height h in terms of f, g, v is (g is acceleration due to gravity)

Options

A.
B.
C.
D.

Solution

Time taken to reach the ground is given by h = gt2     .... (1)
Since horizontal displacement in time t is zero
∴ t =                  ...........(2)

(1) & (2)
h =

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