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

AP Calculus ABeasymcq1 pt

A particle moves along a line with velocity $v(t)=2t-4$ for $0\le t\le 3$ . What is the total distance traveled by the particle?

A.

5

B.

-3

C.

3

D.

4

Explanation

Core Concept

The velocity is negative on $[0,2]$ and positive on $[2,3]$ . The distance is $\int_0^2(4-2t)\,dt+\int_2^3(2t-4)\,dt=4+1=5$ .

Correct Answer

A $5$

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