1. Calculate the acceleration:
* Force (F) = 6 N
* Mass (m) = 2 kg
* Acceleration (a) = F/m = 6 N / 2 kg = 3 m/s² (The acceleration is in the opposite direction of the motion because the force is against it.)
2. Calculate the initial velocity:
* Initial velocity (u) = 30 m/s
3. Calculate the final velocity:
* Acceleration (a) = -3 m/s² (negative because it's against the motion)
* Time (t) = 5 s
* Final velocity (v) = u + at = 30 m/s + (-3 m/s²) * 5 s = 15 m/s
4. Calculate the distance traveled:
* Initial velocity (u) = 30 m/s
* Final velocity (v) = 15 m/s
* Time (t) = 5 s
* Distance (s) = (u + v)/2 * t = (30 m/s + 15 m/s) / 2 * 5 s = 112.5 m
Therefore, the body will move 112.5 meters in 5 seconds after the force is applied.