A body P starts from rest with an acceleration `a_(1)`. After 2 seconds, another body Q starts from rest with an acceleration `a_(2)` from the same point. If they travel equal distances in the fifth second after starting of the motion of the P, then the ratio `a_(1) : a_(2)` is equal to

Options

A. `5 : 9`
B. `5 : 7`
C. `9 : 5`
D. `9 : 7`

Answer

A

Explanation

As given in the questions,
`(a_(1))/(2) (2 xx 5 - 1) = (a_(2))/(2) (2 xx 3 - 1)`
`rArr (a_(1))/(a_(2)) = (5)/(9)`