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A body is projected at \( t=0 \) with a velocity \( 10 \mathrm{~ms}^{-1} \) at an angle of \( 60^{\circ} \) with the horizontal. The radius of curvature of its trajectory at \( t=1 \mathrm{~s} \) is \( R \). Neglecting air resistance and taking acceleration due to gravity \( g=10 \mathrm{~ms}^{-2} \), the value of \( R \) is
(a) \( 10.3 \mathrm{~m} \)
(b) \( 2.8 \mathrm{~m} \)
(c) \( 5.1 \mathrm{~m} \)
(d) \( 2.5 \mathrm{~m} \)
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