Which concept explains how motion can be completed despite infinite subdivision of distance?

Which concept explains how motion can be completed despite infinite subdivision of distance?

• A. The existence of a universal speed limit.
• B. Random fluctuations in measurement.
• C. Limits in calculus.
• D. Discrete time steps.

Answer: (C)

Limits in calculus let us understand how an infinite subdivision can still yield a finite result. If distance is split into infinitely many parts, the total time to cover all parts is the limit of the sum of the times for each part as the number of parts grows without bound. With constant speed and total distance D, each part takes time roughly (D/n)/v, so the total time is the sum over n parts, which approaches D/v as n becomes infinite. That finite limit shows motion can be completed despite infinite steps. The other ideas don’t capture this convergence: a universal speed limit doesn’t address finishing an infinite sequence, random fluctuations aren’t about completing a continuous motion, and discrete time steps imply a different modeling approach without explaining the finite outcome of the infinite process.

Limits in calculus let us understand how an infinite subdivision can still yield a finite result. If distance is split into infinitely many parts, the total time to cover all parts is the limit of the sum of the times for each part as the number of parts grows without bound. With constant speed and total distance D, each part takes time roughly (D/n)/v, so the total time is the sum over n parts, which approaches D/v as n becomes infinite. That finite limit shows motion can be completed despite infinite steps. The other ideas don’t capture this convergence: a universal speed limit doesn’t address finishing an infinite sequence, random fluctuations aren’t about completing a continuous motion, and discrete time steps imply a different modeling approach without explaining the finite outcome of the infinite process.