What is steady and unsteady flow of fluid?

Consider the configuration of a stationary water tank of cross-section area $A_0$ and a small bucket as shown in figure below;

What should be the speed $v$ of the bucket, so that the water leaking out of a hole of cross-section area $A$ (as shown) from the water tank does not fall outside the bucket?

(Take, $h=5 \mathrm{m}, H=5 \mathrm{m}, \mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}, A=5 {\mathrm{cm}}^2$ and $A_0=500 {\mathrm{cm}}^2$).

What will be the nature of flow of water from a circular tap, when its flow rate increased from $0.18 \mathrm{L} {\left(\min \right)}^{-1}$ to $0.48 \mathrm{L} {\left(\min \right)}^{-1}?$ The radius of the tap and viscosity of water are $0.5 \mathrm{cm}$ and ${10}^{-3} \mathrm{Pa} \mathrm{s}$, respectively. (Density of water : ${10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$)

The platelets are drifting with the blood flowing in a streamline flow through a horizontal artery as shown below:

Artery is contracted in region $\mathrm{II}$. Choose the correct statement.

In deriving Bernoulli’s equation, we equated the work done on the fluid in the tube to its change in the potential and kinetic energy. What is the largest average velocity of blood flow in an artery of diameter $2 \times {10}^{-3} \mathrm{m}$ if the flow must remain laminar? (Viscosity of blood, $\mathrm{\eta } = 2.084 \times {10}^3 \mathrm{Pa} \mathrm{s}$, Density of blood, $\mathrm{\rho } = 1.06 \times {10}^3 \mathrm{kg}/{\mathrm{m}}^3$)