The final speed of the SUV will be 9.78 m/sec. Apply law of conservation of momentum principle in given problem.
According to the law of conservation of linear momentum before the collision is equal to the momentum after the collision. These laws state that about how momentum gets conserved.
Apply law of conservation of momentum principle;
[tex]\rm m_1v_1+m_2v_2=(m_1+m_2)V\\\\ \rm 1200 \times 5+2600 \times 12=(1200+2600)V \\\\ 6000+31200=3800V\\\\ V=9.78 \ m/sec[/tex]
Hence, the final speed of the SUV will be 9.78 m/sec.
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