Fluid resistance is influenced by velocity, and its dependence can be either linear (v) or quadratic (v^2). To determine the nature of this relationship, one can conduct experiments, such as using a submerged block of wood in water with a spring or rubber band to measure the force required to move the block at various velocities. The general form of fluid resistance can be expressed as a power series: F(v) = a v + b v^2 + c v^4, where the linear term (a v) is often the most significant contributor. In turbulent flow, the quadratic term (v^2) relates to the kinetic energy of the fluid, linking energy to force and displacement.
