Physics

The key is recognizing that minimum stopping distance happens when you apply maximum braking force throughout. Use the work–energy theorem: the kinetic energy the scooter has must be completely dissipated by the braking force over some distance. Since $W = F \cdot d$ and $W = \Delta KE$, you can set the work done by friction equal to the loss in kinetic energy and solve for $d$.

The key is recognizing that minimum stopping distance happens when you apply maximum braking force throughout. Use the work–energy theorem: the kinetic energy the scooter has must be completely dissipated by the braking force over some distance. Since $W = F \cdot d$ and $W = \Delta KE$, you can set the work done by friction equal to the loss in kinetic energy and solve for $d$.