Physics

The key insight is that constant power means $P = Fv$ stays fixed, so as the body accelerates, the force must decrease. Since $F = ma$ and power is constant, you'll get a differential equation linking velocity to time—and integrating that relationship will show how distance scales with time. The trick is recognizing that under constant power, the work-energy theorem ($W = \Delta KE$) is your most direct path.

The key insight is that constant power means $P = Fv$ stays fixed, so as the body accelerates, the force must decrease. Since $F = ma$ and power is constant, you'll get a differential equation linking velocity to time—and integrating that relationship will show how distance scales with time. The trick is recognizing that under constant power, the work-energy theorem ($W = \Delta KE$) is your most direct path.