The final speed of the SUV will be 21.69 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;
m₁v₁+m₂u₂=m₁v₁+m₂v₂
1200-kg × 5 m/s+ 2600-kg× 12 m/s.=1200-kg ×10+2600-kg×V
6000+31200=12000+2600 ×V
V=21.69 m/sec
Hence,the final speed of the SUV will be 21.69 m/sec.
To learn more about the law of conservation of momentum, refer;
https://brainly.com/question/17140635
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