Hard

Question

A particle is projected from a point (0, 1) on Y-axis (assume + Y direction vertically upwards) aiming towards a point (4, 9). It fell on ground along x axis in 1 sec.

Options

A.(3, 0)
B.(3, 0)
C.(2, 0)
D.(2√5, 0)

Solution

tanθ = = 2  ,
y = uyt + ayt2
now   − 1 = usinθ (1) − g (1)2
usinθ = 4     and    sin θ =     ⇒  u = 2√5

now      x = u cos θ (1) =  × = 2m

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