Apentix/AP Calculus AB/Unit 8: Applications of Integration/Question

AP Calculus ABeasymcq1 pt

A particle moving along a line has acceleration $a(t)=6t$ and initial velocity $v(0)=2$ . What is $v(3)$ ?

A.

27

B.

29

C.

56

D.

5

Explanation

Core Concept

By the Fundamental Theorem, $v(3)=v(0)+\int_0^3 6t\,dt=2+[3t^2]_0^3=2+27=29$ .

Correct Answer

B $29$

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