λ = h / p
where:
* λ is the de Broglie wavelength
* h is Planck's constant
* p is the momentum of the particle (mass x velocity)
Since momentum is directly proportional to velocity, as the speed increases, the momentum also increases. This leads to a smaller de Broglie wavelength.
In simpler terms: The faster a particle moves, the more "concentrated" its wave-like nature becomes, resulting in a shorter wavelength.