The distance (in kilometres) travelled by a car hours after it starts is given by

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

Problem

The distance (in kilometres) travelled by a car tt hours after it starts is given by s(t)=3t2+2ts(t)=3t^{2}+2t, where 0≤t≤50\le t\le5. (a) Calculate s(1)s(1) and s(4)s(4). (b) Determine the average velocity of the car during the time interval t∈[1,4]t\in[1,4]. (c) State the units of your answer in part (b) and interpret its sign in the context of the journey.

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