A student is studying the motion of a particle along a straight line.

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

A student is studying the motion of a particle along a straight line. (i) Define average velocity of the particle for a finite time interval. (ii) Define instantaneous velocity of the particle at a specific instant. (iii) State any two differences between the two quantities defined in parts (i) and (ii). (iv) With the help of a neat labelled sketch of a displacement–time graph, explain how instantaneous velocity can be obtained graphically.

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