A projectile is given an initial velocity of \( (\hat{i}+2 \hat{j}) \mathrm{m} / \mathrm{s} \), ...

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A projectile is given an initial velocity of \( (\hat{i}+2 \hat{j}) \mathrm{m} / \mathrm{s} \), where \( \hat{i} \) is along the ground and \( \hat{j} \) is along the vertical. If \( g=10 \mathrm{~m} / \mathrm{s}^{2} \), the equation of its trajectory is [JEE (Mains) 2013]
(a) \( y=x-5 x^{2} \)
(b) \( y=2 x-5 x^{2} \)
(c) \( 4 y=2 x-5 x^{2} \)
(d) \( 4 y=2 x-25 x^{2} \)
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