The change in velocity, Δv, caused by a force F acting on an object for a time t can be calculated using the equation: Δv = F * t / m, where m is the mass of the object.
For this problem, the change in velocity can be calculated as follows:
Δv = 4.0 N * 3.0 s / 0.5 kg = 24 m/s.
Therefore, the answer is (D) 24 m/s.