If I understand correctly, particle is something at a point of time, where you can tell it's position, but what if particle is moving, then you can tell it's speed.
From what I understand wave is NOT particle moving, but rather, a phase the particle is in. The particle was agitated and turned into a wave.
So, what do you call a moving particle if it's not a wave? Could the particle's movement be represented as a wave because particle has tendencies to be at certain places at certain times?
Waves have a speed as well, and it satisfies the wave equation $\frac{\partial u}{\partial t} = c^2 \nabla^2$ where is $c$ is the speed of the wave.
You said
"The particle was agitated and turned into a wave"
If you mean this context the wave-particle duality, actually if we don't agitate the particle (collapse it's wave fuction) it's wave function, which satisfies the wave equation if we know it's momentum it has no definite position likewise if we know it's position it has no definite momentum this does not imply that value of the position or momentum is zero rather it is not definite and possible values values have a probability associated with them which you can calculate if you know the wave function $\psi$ for position $x$ via $\langle \psi | x | \psi \rangle$ and similarly for momentum $p$ we $\langle \psi | p | \psi \rangle$
