1. Calculate the Acceleration:
* Newton's Second Law: F = ma (Force = mass x acceleration)
* Rearranging to solve for acceleration: a = F/m
* Plugging in the values: a = 6.0 N / 3.0 kg = 2.0 m/s²
2. Calculate the Final Velocity:
* Acceleration is the change in velocity over time: a = (v_f - v_i) / t
* Initial velocity (v_i) is 0 m/s because the object is at rest.
* Rearranging to solve for final velocity (v_f): v_f = a * t + v_i
* Plugging in the values: v_f = (2.0 m/s²) * (10 s) + 0 m/s = 20 m/s
3. Calculate the Displacement (Distance Traveled):
* Using the equation for constant acceleration: d = v_i * t + (1/2) * a * t²
* Plugging in the values: d = (0 m/s) * (10 s) + (1/2) * (2.0 m/s²) * (10 s)² = 100 m
Therefore:
* The object accelerates at a rate of 2.0 m/s².
* After 10 seconds, the object will have a final velocity of 20 m/s.
* The object will have traveled a distance of 100 meters.