Question

If \(v=3xy\), the magnitude of the velocity vector at \((2,-2)\) is ____

• A. \(4\sqrt{2}\)
• B. \(6\sqrt{2}\)
• C. \(12\)
• D. \(0\)

Hint:

For a velocity potential \(\phi\), \[ \boxed{ u=\frac{\partial\phi}{\partial x}, \qquad v=\frac{\partial\phi}{\partial y} } \] Velocity magnitude: \[ \boxed{ V=\sqrt{u^2+v^2}. } \]

Answer 1

The Correct Option is B