1. Calculate the acceleration:

* Newton's Second Law: F = m * a

* F = Force (10.1 N)

* m = Mass (12.3 kg)

* a = Acceleration (what we need to find)

* Solve for acceleration:

* a = F / m

* a = 10.1 N / 12.3 kg

* a ≈ 0.82 m/s²

2. Calculate the distance traveled:

* Kinematic Equation: d = v₀t + (1/2)at²

* d = Distance (what we need to find)

* v₀ = Initial velocity (0 m/s since it starts at rest)

* t = Time (2.5 s)

* a = Acceleration (0.82 m/s²)

* Plug in the values:

* d = (0 m/s)(2.5 s) + (1/2)(0.82 m/s²)(2.5 s)²

* d = 0 + (0.41 m/s²)(6.25 s²)

* d ≈ 2.56 m

Therefore, the shopping cart will move approximately 2.56 meters in 2.5 seconds.