A body travels for 15 𝑠𝑒𝑐 starting from rest with constant acceleration. If it travels distances 𝑆1, 𝑆2 and 𝑆3 in the first five seconds, second five seconds and next five seconds respectively the relation between 𝑆1, 𝑆2 and 𝑆3 is

Question : A body travels for 15 𝑠𝑒𝑐 starting from rest with constant acceleration. If it travels distances 𝑆1, 𝑆2 and 𝑆3 in the first five seconds, second five seconds and next five seconds respectively the relation between 𝑆1, 𝑆2 and 𝑆3 is

(A) S_{1}=S_{2}=S_{3}

(B) 5S_{1}=3S_{2}=S_{3}

(C) s_{1}=\dfrac{1}{3}S_{2}=\dfrac{1}{5}S_{3}

(D) s_{1}=\dfrac{1}{3}S_{2}=\dfrac{1}{3}S_{5}

Answer : option (C)

Solution :

A body travels for 15 𝑠𝑒𝑐 starting from rest with constant acceleration. If it travels distances 𝑆1, 𝑆2 and 𝑆3 in the first five seconds, second five seconds and next five seconds respectively the relation between 𝑆1, 𝑆2 and 𝑆3 is
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