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

AP Calculus ABeasymcq1 pt

A particle moves along a line with position $s(t)=t^2-4t+7$ meters at time $t$ seconds. At what time is the particle at rest?

A.

t=0

s

B.

t=2

s

C.

t=1

s

D.

t=4

s

Explanation

Core Concept

The particle is at rest when $v(t)=0$ . Since $v(t)=s'(t)=2t-4$ , setting $2t-4=0$ gives $t=2$ .

Correct Answer

B $t=2$ s

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