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

AP Calculus ABeasymcq1 pt

A particle's velocity is $v(t)=3t^2+5$ m/s at time $t$ seconds. What is its acceleration function $a(t)$ ?

A.

a(t)=3t^2+5

m/s

^2

B.

a(t)=6t+5

m/s

^2

C.

a(t)=6t

m/s

^2

D.

a(t)=t^3+5t

m/s

^2

Explanation

Core Concept

Acceleration is the derivative of velocity. Differentiating gives $v'(t)=6t$ .

Correct Answer

C $a(t)=6t$ m/s $^2$

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