1. The problem is to understand the formula $p = \frac{1}{2} \times \text{density} \times v^2$ which calculates pressure or dynamic pressure in fluid dynamics. 2. The formula is derived from the kinetic energy per unit volume of a fluid, where $p$ is pressure, density is the mass per unit volume of the fluid, and $v$ is the velocity of the fluid. 3. Important rule: velocity $v$ is squared, so the pressure depends on the square of the velocity. 4. To use the formula, multiply the density by the square of the velocity, then multiply by $\frac{1}{2}$. 5. For example, if density = $\rho$ and velocity = $v$, then $$p = \frac{1}{2} \rho v^2$$ 6. This formula is used in physics and engineering to calculate dynamic pressure in fluids like air or water. 7. Remember, units must be consistent: density in kg/m$^3$, velocity in m/s, pressure in Pascals (N/m$^2$).