The uncertainty principle in quantum mechanics does indeed apply to all particles, including projectiles like missiles and rockets. However, the effects of the uncertainty principle are generally negligible on macroscopic scales, such as those of everyday objects like missiles and rockets.
The uncertainty principle, as formulated by Werner Heisenberg, states that there is a fundamental limit to the precision with which certain pairs of physical properties, such as position and momentum, can be simultaneously known. It implies that the more precisely we try to measure one property, the less precisely we can know the other property.
For macroscopic objects like missiles and rockets, their masses and speeds are significantly large compared to quantum-scale particles, and as a result, their quantum uncertainties become extremely small and effectively negligible. The uncertainty principle becomes significant and noticeable in the realm of microscopic particles, such as electrons, atoms, and subatomic particles, where their quantum nature becomes apparent.
In the case of projectiles like missiles and rockets, their positions and momenta can be determined with sufficient precision for practical purposes without encountering the limitations imposed by the uncertainty principle. The effects of the uncertainty principle become noticeable when dealing with particles at the quantum level, where their wave-like properties and probabilistic behavior become significant.
So, while the uncertainty principle is a fundamental principle of quantum mechanics that applies to all particles, including projectiles, its effects are typically negligible for macroscopic objects like missiles and rockets due to their large masses and velocities.