Two particles of masses `m_1 and m_2` in projectile motion have velocities `vecv_1 and vecv_2` respectively at time `t=0.` They collide at time `t_0.` Their velocities become `vecv_1' and vecv_2'` at time `2t_0` while still moving in air. The value of `|(m_1vecv_1' + m_2vecv_2') - (m_1vecv_1 + m_2vecv_2)|` is

Two particles of masses m_(1) and m_2 in projectile motion have velocities vecv_(1) and vecv_(2) respectively at time t = 0. They collide at time t_(0) . Their velocities become vecv_(1) and vecv_(2) at time 2t_(0) while still moving in air. The value of |(m_(1)vecv_(1) + m_(2)vecv_(2)) -(m_(1)vecv_(1) + m_(2)vecv_(2))| is

Two particles of masses m_(1) and m_(2) in projectile motion have velocities vec(v)_(1) and vec(v)_(2) , respectively , at time t = 0 . They collide at time t_(0) . Their velocities become vec(v')_(1) and vec(v')_(2) at time 2 t_(0) while still moving in air. The value of |(m_(1) vec(v')_(1) + m_(2) vec(v')_(2)) - (m_(1) vec(v)_(1) + m_(2) vec(v)_(2))|

Two particles of masses m_(1) and m_(2) in projectile motion have velocities vec(v)_(1) and vec(v)_(2) , respectively , at time t = 0 . They collide at time t_(0) . Their velocities become vec(v')_(1) and vec(v')_(2) at time 2 t_(0) while still moving in air. The value of |(m_(1) vec(v')_(1) + m_(2) vec(v')_(2)) - (m_(1) vec(v)_(1) + m_(2) vec(v)_(2))|

Two particles of masses m_(1) and m_(2) in projectile motion have velocities vec(v)_(1) and vec(v)_(2) , respectively , at time t = 0 . They collide at time t_(0) . Their velocities become vec(v')_(1) and vec(v')_(2) at time 2 t_(0) while still moving in air. The value of |(m_(1) vec(v')_(1) + m_(2) vec(v')_(2)) - (m_(1) vec(v)_(1) + m_(2) vec(v)_(2))|

Two particles of masses, m_1 and m_2 y in projectile motion have velocities vecv_1 lt vecv_2 at t= 0 . They collide at time to Their velocities become v', and ', at time 2, while still moving in air. The value of (m_1v_1 +m_2 v_2) is:

Two particles of same mass 'm' moving with velocities vecv_1= vhati, and vecv_2 = (v/2)hati + (v/2)hatj collide in-elastically. Find the loss in kinetic energy