An electron has an uncertainty in its position of 587 pm . part a what is the uncertainty in its velocity?

We can solve the problem by using Heisenberg's uncertainty principle, which states that:

where
is the uncertainty on the position
is the uncertainty on the momentum
is the Planck constant.

Keeping in mind that the momentum is the product between the mass of the electron and its velocity: 

we can rewrite the Heisenberg principle as

where  is the uncertainty on the velocity.

The uncertainty on the position is , so we can find the uncertainty on the velocity by re-arranging the previous equation:

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