Physics

Problem

A body of mass

m_1

moving with an unknown velocity of

v_1 \hat{i}

, undergoes a collinear collision with a body of mass

m_2

moving with a velocity

v_2 \hat{i}

. After collision,

m_1

and

m_2

move with velocities of

v_3 \hat{i}

and

v_4 \hat{i}

, respectively. If

m_2 = 0.5 m_1

and

v_3 = 0.5 v_1

, then

v_1

is : a.

v_4 - \frac{v_2}{2}

v_4 - v_2

v_4 - \frac{v_2}{4}

v_4 + v_2