A quartic Bezier curve is defined by five control points. From a physical perspective, we can interpret this curve as the trajectory of a particle moving under the influence of multiple force fields. Each control point acts as an attractor, pulling the particle with varying strength as time progresses from zero to one.The quartic Bezier curve uses Bernstein polynomials as basis functions. Each basis function represents the time-dependent weight of a control point. Physically, these weights describe how strongly each attractor influences the particle at time t. Notice how each basis function peaks at different times, creating a smooth transition of influence from the first control point to the last.As time t progresses from zero to one, the particle moves along the curve. At each instant, the particle's position is determined by the weighted sum of all control points, where weights are given by the Bernstein basis functions. The green arrow shows the velocity vector, which is tangent to the curve. This creates a smooth trajectory that naturally interpolates between the control points.Each control point generates a time-varying force field. The force from point P i is proportional to the Bernstein basis function B i of t. The net force at time t determines the particle's instantaneous position. The orange arrows show the force contributions from each control point. Notice how the forces change as time progresses, creating a smooth and bounded trajectory.