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I have found three equations with three unknowns and I can solve for all three velocities, but I do not need to know the coefficient of friction and I do not need to know that the the skid mark is 20 meters long.

m1=2000kg

v1=initial velocity of truck

m2=1000kg

v2=initial velocity of car

m3=3000kg

v3=final velocity of both vehicles

equation 1, total momentum of system:

[tex] m_1v_1+m_2v+2 = m_3 v_3[/tex]

equation 2, momentum in y direction of system:

[tex] m_1v_1= m_3 v_3 cos(14)[/tex]

equation 3, momentum in x direction of system:

[tex] m_2v_2= m_3 v_3 sin(14)[/tex]

my question is, if I solved these equations as a matrix, would this give me the original velocities of both cars? I am wondering this because I did not use the coefficient of friction nor did I use the 20 meters long skid mark. I was wondering if this method works. thanks!