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 instant of overtaking, position of the two particles is same. Let this instant be ‘t’
` rArr 2ut +(1)/(2) at ^(2) (2a)t^(2) " "t= (2u)/(a) `
Distance moved by first object `= 2u((2u)/(a))+(1)/(2)a ((2u)/(a))^(2) =(6u^(2))/(a) `