The velocity of a particle is given by for seconds

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

Problem

The velocity of a particle is given by

v(t)=3t^{2}-2t+1\text{ m/s}

for

0\le t\le 2

seconds. Calculate the particle’s average velocity over this time interval. (Express your answer in m/s.)

Related theory

Derivative Foundations
Rates of change
Rate of change of quantities

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