What Is the Velocity of the First Car After the Collision?

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To find the velocity of the first car after the collision, the law of conservation of linear momentum is applied. The total momentum before the collision, calculated using the masses and initial velocities of both cars, must equal the total momentum after the collision. The equation m1u1 + m2u2 = m1v1 + m2v2 is used, where m1 and m2 are the masses of the cars, and u1 and u2 are their initial velocities. The calculated result for the first car's velocity after the collision is 8.94 m/s. This demonstrates the principle that momentum is conserved in collisions.
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Homework Statement



a 480kg car moving at 14.4m/s hits a another car from behind moving at 13.4m/s in the same direction. if the second car has a mass of 570kg and a new speed of 17.9m/s what is the velocity of the first car after the collision??

Homework Equations



m1*v1=m2*v2
doubt that's it

The Attempt at a Solution


i know its 8.94m/s but why??
 
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You have to use the law of conservation of linear momentum. According to this law, the total momentum before collision is equal to the total momentum after collision..
So m1u1 + m2u2 = m1v1 + m2v2.
 

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