1. Understand the Forces:
* Weight (Force of Gravity): 5711 N (acting downward)
* Thrust (Upward Force): 22214 N (acting upward)
2. Calculate the Net Force:
* Net Force = Thrust - Weight
* Net Force = 22214 N - 5711 N = 16503 N
3. Apply Newton's Second Law:
* Newton's Second Law: F = ma (Force = mass * acceleration)
* To find the acceleration, we need the mass of the rocket. We can find this using the weight and gravity:
* Weight = mass * gravity
* mass = Weight / gravity
* mass = 5711 N / 9.8 m/s² ≈ 582.8 kg
4. Calculate the Acceleration:
* acceleration = Net Force / mass
* acceleration = 16503 N / 582.8 kg ≈ 28.3 m/s²
Therefore, the rocket's acceleration is approximately 28.3 m/s².