For a particle undergoing rectilinear motion with uniform acceleration, the magnitude of displacement is one third the distance covered in some time interval. The magnitude of final velocity is less than magnitude of initial velocity for this time interval. Then the rationof initial speed to the final for this time interval is `:`

Options

A. `sqrt(2)`
B. 2
C. `sqrt(3)`
D. 3

Answer

A

Explanation

Let `u` and `V` denote initial and find velocity, then nature of motion is indicated in diagram

Hence initial and final speed are given by equation
`0^(2)=u^(2)-2axx2S` and `v^(2)=0^(2)+2as`
`:. v=(u)/(sqrt(2))or (u)/(v)=sqrt(2)` Ans.