Mathematics

Problem

Two students want to estimate a cart’s instantaneous velocity at

t=1.00\,\text{s}

using position data recorded every

0.20\,\text{s}

. Student A plans to use

(x_{1.10}-x_{0.90})/0.20\,\text{s}

, while Student B plans to use

(x_{1.20}-x_{0.80})/0.40\,\text{s}

. In one sentence, explain which estimate is likely closer to the true instantaneous velocity and why.