Final answer:
The force was applied for 0.5 seconds.
Step-by-step explanation:
To find the time the force was applied, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. In this case, the force is 2 N and the mass is 1 kg. So, the acceleration can be calculated using the formula acceleration = force / mass. The acceleration is then equal to 2 N / 1 kg, which is 2 m/s².
Next, we can use the formula for calculating velocity, which states that velocity change is equal to acceleration multiplied by time. In this case, the velocity change is 1 m/s and the acceleration is 2 m/s². Plugging these values into the formula, we get 1 m/s = 2 m/s² * time. Solving for time, we find that the force was applied for 0.5 seconds.