I believe there is typo: The problem probably states after the object has traveled an additional 5 m and not 5 m/s
Initial speed is u = 3 m/s
Initial kinetic energy is
The acceleration is a = F/m = 4/2 = 2 m/s2
Distance traveled is d = 5 m
The final speed is
The final kinetic energy is
Final speed is
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