Two students want to estimate a cart’s instantaneous velocity at using position data…
MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
Two students want to estimate a cart’s instantaneous velocity at t=1.00s using position data recorded every 0.20s.
Student A plans to use (x1.10−x0.90)/0.20s, while Student B plans to use (x1.20−x0.80)/0.40s.
In one sentence, explain which estimate is likely closer to the true instantaneous velocity and why.