AP Calculus ABmediummcq1 pt

A particle moves along a line with position $s(t)=t^3-6t^2+9t$ for $0\leq t\leq 4$ . On which interval(s) is the speed of the particle increasing?

(1,2)

and

(3,4)

(0,1)

and

(2,3)

(1,3)

(0,2)

Explanation

Core Concept

Speed increases when velocity and acceleration have the same sign. Here $v(t)=3(t-1)(t-3)$ and $a(t)=6(t-2)$ , so $v$ and $a$ agree on $(1,2)$ and on $(3,4)$ .

Correct Answer

A $(1,2)$ and $(3,4)$

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Practice Unit 4: Contextual Applications of Differentiation Questions →

A particle moves along a line with position s(t)=t3−6t2+9ts(t)=t^3-6t^2+9ts(t)=t3−6t2+9t for 0≤t≤40\leq t\leq 40≤t≤4. On which interval(s) is the speed of the particle increasing?

Explanation

Core Concept

Correct Answer

More Unit 4: Contextual Applications of Differentiation practice questions

A particle moves along a line with position $s(t)=t^3-6t^2+9t$ for $0\leq t\leq 4$ . On which interval(s) is the speed of the particle increasing?