A projectile is given an initial velocity of \( (\hat{\mathbf{i}}+2 \hat{\mathbf{j}}) \mathrm{ms...
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A projectile is given an initial velocity of \( (\hat{\mathbf{i}}+2 \hat{\mathbf{j}}) \mathrm{ms}^{-1} \), where \( \hat{\mathbf{i}} \) is along the ground and \( \hat{\mathbf{j}} \) is along vertical. If \( g=10 \mathrm{~ms}^{-2} \), the equation of its trajectory is
(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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