Two blocks `A` and `B` of masses `m` and `2m` are placed on a smooth horizontal surface. Block `B` is given a speed of `3m//s`. Find
`(i)` The maximum speed of `A`
`(ii)` The minimum speed of `B`.

Options

A. `1:1`
B. `3:5`
C. `5:7`
D. `1:2`

Explanation

`Deltal_(1)=((3F)/2)(L/2)/(2AY)+(FL/2)/(2AY)=(5FL)/(8AY)`
`Deltal_(2)=(2FL/2)/(2AY)+((3F)/2L/2)/(2AY)=(7FL)/(8AY)`
`(Deltal_(1))/(Delta_(2))=5/7`