A body A starts from rest with an acceleration a1. After 2 seconds, another body B starts from rest with an acceleration a2. If they travel equal distances in the 5th second, after the start of A, then the ratio a1:a2 is equal to
A
5 : 9
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B
5 : 7
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C
9 : 5
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D
9 : 7
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Solution
The correct option is A 5 : 9 By using Sn=u+a2(2n−1), Distance travelled by body A in 5th second =0+a12(2×5−1)
Distance travelled by body B in 3rd second is =0+a22(2×3−1)
According to problem: 0+a12(2×5−1)=0+a22(2×3−1)⇒9a1=5a2⇒a1a2=59