A hiker’s cumulative distance (in meters) from the trailhead after minutes is…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

A hiker’s cumulative distance DD (in meters) from the trailhead after tt minutes is recorded: t (min):0510152025D(t):0350790123016402010\begin{aligned} t\,(\text{min}) &: 0 & 5 & 10 & 15 & 20 & 25 \\ D(t) &: 0 & 350 & 790 & 1230 & 1640 & 2010 \end{aligned} Using the data, estimate the time at which the hiker’s instantaneous speed was greatest during the 25-minute interval.

Related theory

Browse the problem library