Strategy Pattern and Dependency Injection using Unity

I am finally getting my feet wet with Dependency Injection (long overdue); I got started playing with Unity and run into an issue with the strategy pattern. I can use the container to return to me specific implementations of a strategy based on a name, but what I don't see is how I am supposed to get the right strategy in the context.
Let's illustrate on a simple example: the context is a car, which has an IEngine (the strategy), with 2 implementations, FastEngine and SlowEngine. The code would look along these lines:

public interface IEngine
{
    double MaxSpeed
    {
        get;
    }
}

internal class FastEngine:IEngine
{
    public double MaxSpeed
    {
        get 
        { 
            return 100d; 
        }
    }
}

internal class SlowEngine:IEngine
{
    public double MaxSpeed
    {
        get
        {
            return 10d;
        }
    }
}

public class Car
{
    private IEngine engine;
    public double MaximumSpeed
    {
        get
        {
            return this.engine.MaxSpeed;
        }
    }

    public Car(IEngine engine)
    {
        this.engine = engine;
    }
}

My problem is the following: how should I go about instantiating a fast car or a slow car? I can use the container to provide me with each implementation, and I can set a "default" implementation to use:

IUnityContainer container = new UnityContainer();
container.RegisterType<IEngine, FastEngine>();
container.RegisterType<IEngine, FastEngine>("Fast");
container.RegisterType<IEngine, SlowEngine>( "Slow" );
var car = container.Resolve<Car>();
Assert.AreEqual(100, car.MaximumSpeed);

but what I would like is to be able to request a car with a specific implementation of the strategy - something like

var car = container.Resolve<Car>(??? use "Fast" or "Slow ???);

Can I use the container to do that? Or should I write a Factory which uses the container? Any guidance would be appreciated - I am not sure I am thinking right about this!