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Question

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(2n1), Distance travelled by body A in 5th second =0+a12(2×51)
Distance travelled by body B in 3rd second is =0+a22(2×31)
According to problem: 0+a12(2×51)=0+a22(2×31)9a1=5a2a1a2=59

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