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Answer:
Approximately .
Step-by-step explanation:
Let and denote the mass of the two vehicles. Let and denote the velocity before the collision. Let and denote the velocity after the collision.
Since the collision is elastic, both momentum and kinetic energy should be conserved.
For momentum to conserve:
.
For kinetic energy to conserve:
Simplify to obtain:
It is given that , , , and . The value (in ) of and can be found by solving this nonlinear system of two equations and two unknowns:
Solving this system gives two possible sets of solutions:
However, the second set of solutions is invalid since it suggests that the velocity of the two vehicles stayed unchanged after the collision. Hence, only the first set of solutions (, ) is valid.
Therefore, the velocity of vehicle would be approximately after the collision.
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