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

AP Calculus ABeasymcq1 pt

A particle moves along the $x$ -axis with velocity $v(t)=3t^2-6t$ . What is its displacement from $t=0$ to $t=2$ ?

A.

4

B.

0

C.

2

D.

-4

Explanation

Core Concept

Displacement is $\int_0^2(3t^2-6t)\,dt$ . The antiderivative is $t^3-3t^2$ , so the displacement is $[t^3-3t^2]_0^2=8-12=-4$ .

Correct Answer

D $-4$

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