To determine the final velocity of the object, we can use the equation of motion:
v = u + at
Where: v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Given: u = 3 m/s (initial velocity) a = F/m = 10 N / 200 kg = 0.05 m/s^2 (acceleration) t = 3 s (time)
Now we can substitute the given values into the equation to find the final velocity:
v = u + at v = 3 m/s + (0.05 m/s^2) * 3 s v = 3 m/s + 0.15 m/s v = 3.15 m/s
Therefore, the final velocity of the object after 3 seconds is 3.15 m/s.