Answer:
The question is about calculating the average velocity of a fluid flow using integration methods from a given velocity distribution function, applicable to scenarios such as river deltas and oil gushers in physics. The closest multiple-choice option is (c) Integrate the velocity distribution.
Step-by-step explanation:
The student's question concerns calculating the average velocity of a fluid flow given a velocity distribution function. This is a physics problem that requires understanding of fluid dynamics and the use of integration to compute weighted averages from a continuous distribution. The application of the trapezoidal rule to approximate integrals and the concept of velocity gradients are also explored in context to fluid flow and turbulence, particularly in scenarios such as a river delta or an oil gusher.
In the context of a river delta, the average velocity would be found by considering the velocity distribution as the river spreads out, and similarly for an oil gusher, the type of flow can be determined by calculating the Reynolds number.
The closest multiple-choice option is (c) Integrate the velocity distribution.