A particle is moving with uniform acceleration along a straight line. Its velocities at A & B are respectively `7 m//s` & `17 m//s`. M is mid point of AB. If `t_(1)` is the time taken to go from A to M and `t_(2)` the time taken to go from M to B, the ratio `t_(1)/t_(2)` is equal to :-

Options

A. `3:2`
B. `3:1`
C. `2:1`
D. `2:3`

Answer

A

Explanation

`v_(m)^(2)=(7)^(2)+2xxaxx x , v_(m)=13 m//s`
`(17)^(2)=(7)^(2)+2xxaxx2x`
`(13-7)/a=t_(1), t_(2)=(17-13)/a, t_(1)/t_(2)=6/4=3/2`