A body travels for \( 15 \mathrm{sec} \) starting from rest with constant acceleration. If it tr...

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A body travels for \( 15 \mathrm{sec} \) starting from rest with constant acceleration. If it travels distances \( S_{1}, S_{2} \) and \( S_{3} \) in the first five seconds, second five seconds and next five seconds respectively the relation between \( S_{1}, S_{2} \) and \( S_{3} \) is[AMU (Engg.) 2000](a) \( S_{1}=S_{2}=S_{3} \)(b) \( 5 S_{1}=3 S_{2}=S_{3} \)(c) \( S_{1}=\frac{1}{3} S_{2}=\frac{1}{5} S_{3} \)(d) \( S_{1}=\frac{1}{5} S_{2}=\frac{1}{3} S_{3} \)
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