Apentix/AP Calculus AB/Unit 4: Contextual Applications of Differentiation/Question

AP Calculus ABeasymcq1 pt

The position of a particle is $s(t)=2t^3-3t^2+t+1$ meters at time $t$ seconds. What is the velocity at $t=3$ seconds?

A.

36

m/s

B.

31

m/s

C.

55

m/s

D.

37

m/s

Explanation

Core Concept

Velocity is $v(t)=s'(t)=6t^2-6t+1$ . Substituting $t=3$ gives $54-18+1=37$ m/s.

Correct Answer

D $37$ m/s

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