A 550-kg car moving at 18.5 m/s hits from behind a 560-kg car moving at 11.8 m/s  in the same direction. If the new speed of the heavier car is 16.0 m/s, what is the speed of the lighter car after the collision, assuming that any unbalanced forces on the system are negligibly small? Please do on paper and show all equations and work done to get to the final answer. Along with any helpful diagrams if needed. These are a part of my review questions in the book but i keep getting different answers from what the book says, it is not a graded assignment***

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
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A 550-kg car moving at 18.5 m/s hits from behind a 560-kg car moving at 11.8 m/s  in the same direction. If the new speed of the heavier car is 16.0 m/s, what is the speed of the lighter car after the collision, assuming that any unbalanced forces on the system are negligibly small?

Please do on paper and show all equations and work done to get to the final answer. Along with any helpful diagrams if needed.

These are a part of my review questions in the book but i keep getting different answers from what the book says, it is not a graded assignment***

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