A rocket cannot continue to travel indefinitely without fuel because, while it can coast at a constant speed after exhausting its fuel, it requires additional thrust for trajectory adjustments and to overcome gravitational forces when necessary. Spacecraft utilize gravity assists from planets to gain speed, but they still need some fuel for fine-tuning their paths. The cost of fuel is not the main concern in space missions; rather, it is the mass and volume of fuel that complicate spacecraft design and launch. For missions like those to Mars, the payload requirements increase significantly when considering human life support, making the launch more expensive and complex. Ultimately, while spacecraft can travel vast distances, the limitations of fuel mass and the need for thrust during critical phases remain significant challenges in space exploration.