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$\def\¿{\small}$Yes, Bernoulli's Theorem applies only along one streamline. It is actually a corollary of Bernoulli's theorem (or a shortcut!) that Bernoulli's Equation holds between points C and D th …

At the first glance, your explanation seems to be right. But there is a missing point. Let's see. Our concentration is about walking through water vs. walking through the air. As you say, the explanat …

I assume this is a huge lake. Without knowing the surface area of the lake, you can't apply the equation of continuity at all. But if you consider this as a huge lake as I said, you can neglect the de …

$m$ is the mass of considered volume of the liquid. It varies. So you can see, in your equation $mgh=\frac 12 mv^2$, $m$ cancels out from the both sides. It's your choice to decide whether it is unit …

I recommend you to read the edit below, first Let me explain a little bit what happens when you fill the bottle. When the water from the tap hits the water level, the surface water becomes turbulent. …

When a water rocket is projected, it goes in a specific trajectory. But when a balloon is inflated and left untied, it does not follow a definite path. It goes in a random way. I do not see any faul …

Bernoulli's equation: $P+\frac{1}{2}\rho v^2+\rho gh=\text{constant}$ There are some conditions to use Bernoulli's equation. But often we neglect them. The fluid must be incompressible. But we use …