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AP Calculus BC Flashcards: Connecting Position Velocity And Acceleration

Study Connecting Position Velocity And Acceleration in AP Calculus BC with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is the velocity function v(t)v(t) if a(t)=6ta(t) = 6t?

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ANSWER

v(t)=3t2+Cv(t) = 3t^2 + C. Integrate acceleration to get velocity, adding constant of integration.

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AP Calculus BC: Contextual Applications of Differentiation

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What this deck covers

This deck focuses on Connecting Position Velocity And Acceleration, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus BC.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 35Practice questions for this set
A motorcycle's acceleration is a(t)=2cos⁡ta(t)=2\cos t with v(0)=−1v(0)=-1; what is v(π2)v\left(\frac{\pi}{2}\right)?
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