In Feynman's lectures on physics, volume I, section 6-5, Feynman states: $$\Delta x\cdot \Delta v \ge h/m $$ ($\Delta x$ is the width of the probability distribution of the location, $\Delta v$ is the width of the probability distribution of the velocity, $h$ is the Planck constant and $m$ the mass) and goes on to say the following:
Since the right-hand side of this equation is a constant, it says that if we try to "pin down" a particle by forcing it to be in a particular place, it ends up by having a high speed.
My question: Why should the particle have a high speed if it is very localized? To my understanding the Heisenberg uncertainty principle only states that the velocity probability distribution will be very spread.
clarification: I'm not asking how can the particle be moving if it is localized, as asked before here, so this is not a duplicate to my understanding. My question is why should it go faster if it is more localized.