Understanding the Concepts

* Newton's Second Law: F = ma (Force = mass x acceleration)

* Force of Friction: The force opposing motion, which depends on the surface and weight of the object.

Assumptions

* We'll assume the car's engine produces a constant force.

* We'll ignore air resistance for simplicity.

Explanation

1. No Tow: When the car is not towing anything, its acceleration is determined by the force of the engine and the force of friction. Let's call this acceleration 'a'.

2. Towing: When the car is towing a trailer twice its mass, the total mass it's accelerating is three times its own mass (car + trailer). Since the engine force remains constant, the acceleration will be reduced.

3. Applying Newton's Second Law:

* Without towing: F = ma

* With towing: F = 3ma' (where 'a'' is the new acceleration)

4. Solving for the Ratio of Accelerations: Since the force is the same in both cases, we can set the equations equal:

* ma = 3ma'

* a' = a/3

Answer:

The maximum acceleration of the car while towing is one-third the acceleration when it's not towing.