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The path followed by a body projected along y-axis is given as by y=3x1/2x2,if g = 10 m/s2, then the initial velocity of projectile is (x and y are in m)

a
310 m/s
b
210 m/s
c
103 m/s
d
102 m/s

detailed solution

Correct option is B

On comparing the coefficient of x2 in the given equation with the standard equation, we gety=x tan θ−gx22u2cos2θ   tanθ=3,θ=600 ⇒g2u2cos2θ=12Substituting θ = 60°, we get u=210 m/s.

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