📝 Average Value And Average Velocity

📖 From Calculus • 6. Integration • 23 questions available

Practice MCQs for Average Value And Average Velocity. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

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📝 Sample Questions

Q1. Which statement about average velocity is always true?

🔹 A. It equals the instantaneous speed at the midpoint of the interval.

🔹 B. It is always positive for any motion.

🔹 C. It equals total displacement divided by total time.

🔹 D. It must be zero if the object returns to its starting point.

💡 Difficulty: easy | ✅ Correct: C

Q2. If the average value of \(f\) on \([2,5]\) is 7, what is \(\int_2^5 f(x) \, dx\)?

🔹 A. 7

🔹 B. 14

🔹 C. 21

🔹 D. 28

💡 Difficulty: medium | ✅ Correct: C

Q3. If a continuous function \(f\) on \([a,b]\) attains its average value at some \(c \in (a,b)\), which hypothesis is essential for this result?

🔹 A. Continuity of \(f\)

🔹 B. Differentiability of \(f\)

🔹 C. Integrability of \(f\)

🔹 D. Monotonicity of \(f\)

💡 Difficulty: hard | ✅ Correct: A

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🔗 Related Topics

📝 Approximating Roots 📝 Areas and Limits 📝 Continuity in Applications 📝 Continuity of Compositions 📝 Continuity of Inverse Functions

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