Answer
See explanation.
Work Step by Step
a. We know that the mosquito is somewhere in the room, so the maximum uncertainty in its position is 5.0 m, the larger room dimension.
b. The Heisenberg uncertainty principle limits our knowledge of its momentum.
$$\Delta x \Delta p_x \geq \frac{\hbar}{2}$$
$$\Delta x \; m \Delta v_x \geq \frac{\hbar}{2}$$
Find the minimum uncertainty in horizontal velocity.
$$ \Delta v_x =\frac{\hbar}{2m \Delta x}=7.0\times10^{-30}m/s$$
This is not a serious limitation.
