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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
According to problem
Distance travelled by body A in 5th sec and distance travelled by body B in 3rd sec. of its motion are equal.
As we know that the distance travelled by the particle in nth sec is given as
Sn=u+a2(2n1)
Thus, we have S5th=S3rd
0+a12(2×51)=0+a22(2×31)
9a1=5a2a1a2=59

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