The position (in meters) of a cart moving along a track was recorded at the times shown

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

Problem

The position

s

(in meters) of a cart moving along a track was recorded at the times shown. t (seconds): 2.5 3.5 s(t): 12.1 16.5 Estimate the cart’s velocity at

t=3

seconds. Give both the numerical value and appropriate units.

Related theory

Derivative Foundations
Differentiation from first principles
Intuitive idea of derivatives
Limits and Derivatives

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