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The "speed" of an alpha particle will be determined by what it is that generates that alpha particle. That's another way of saying that alpha particles, which are helium-4 nuclei, come in different energies. You will recall that they are generated in alpha decay, which is a form of radioactive decay. As to how "fast" they are in water, all we can state is an initial energy, and then do some calculations to determine how far they might go. As a sheet of notebook paper will stop an alpha particle, it will not travel very far in water. Small fractions of an inch is all we could expect for the distance they'd be able to go. Heck, they'd be bumping into water molecules right from the gate, and losing energy with each collision (which is called a scattering event). Links to related questions can be found below.

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Q: How fast are alpha particles in water?
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