1. Understand the Concepts

* Force and Acceleration: Newton's Second Law of Motion states that force (F) equals mass (m) times acceleration (a): F = ma. We can use this to find the car's acceleration.

* Acceleration and Velocity: Acceleration is the rate of change of velocity. We'll use this to find the time it takes the car to stop.

* Stopping Distance: The distance the car travels while decelerating to a stop.

2. Calculate Acceleration

* Given:

* Force (F) = -3000 N (negative sign indicates deceleration)

* Mass (m) = 3000 kg

* Equation: F = ma

* Solve for acceleration (a): a = F/m = -3000 N / 3000 kg = -1 m/s²

3. Calculate Time to Stop

* Given:

* Initial Velocity (v₀) = 10 m/s

* Final Velocity (vf) = 0 m/s (car comes to a stop)

* Acceleration (a) = -1 m/s²

* Equation: vf = v₀ + at

* Solve for time (t): 0 = 10 m/s + (-1 m/s²) * t

t = 10 s

4. Calculate Stopping Distance

* Given:

* Initial Velocity (v₀) = 10 m/s

* Time (t) = 10 s

* Acceleration (a) = -1 m/s²

* Equation: d = v₀t + (1/2)at²

* Solve for distance (d): d = (10 m/s)(10 s) + (1/2)(-1 m/s²)(10 s)²

d = 100 m - 50 m

d = 50 m

Therefore, the stopping distance for the car is 50 meters.