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

AP Calculus ABeasymcq1 pt

The position of a particle is $s(t)=3t^2+2t+1$ meters at time $t$ seconds. What is the velocity at $t=2$ seconds?

A.

14

m/s

B.

12

m/s

C.

8

m/s

D.

16

m/s

Explanation

Core Concept

Differentiate to get $v(t)=6t+2$ . Substituting $t=2$ gives $6(2)+2=14$ m/s.

Correct Answer

A $14$ m/s

More Unit 4: Contextual Applications of Differentiation practice questions

hardAt noon, ship A is 100 km west of ship B. Ship A sails east at 20 km/h and ship B sails north at 15 km/h. How fast is the distance between t…
hardWater drains from an inverted conical tank 10 m tall with a top radius of 5 m at a rate of 2 m$^3$/min. How fast is the depth of the water d…
hardWhat is $\displaystyle\lim_{x\to\infty}\dfrac{x^3}{e^x}$?
hardWhat is $\displaystyle\lim_{x\to 0}\dfrac{1-\cos x}{x^2}$?
hardWhat is $\displaystyle\lim_{x\to 0}\dfrac{e^x-1-x}{x^2}$?

Try a random question →

Practice more AP Calculus AB questions with full explanations

Practice Unit 4: Contextual Applications of Differentiation Questions →