Two objects are moving along the same straight line. They cross a point A With an acceleration a, 2a and velocity 2u, u at time `t = 0.` The distance moved by the object when one overtakes the

Options

A. `(6u^2)/a`
B. `(2u^2)/a`
C. `(4u^2)/a`
D. `(8u^2)/a`

Answer

A

Explanation

At the time of overtaking,
`s_1=s_2`
`:. 2ut+1/2at^2=ut+1/2(2a)t^2`
`:. t=(2u)/a`
`:. s_1(ors_2)=(2u)((2u)/a)+1/2(a)((2u)/a)^2`
`=(6u^2)/a`