📝 Average Velocity Revisited

📖 From Calculus • 6. Integration • 23 questions available

Practice MCQs for Average Velocity Revisited. 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. What is the formula for the average velocity of an object moving along a line from \(t = a\) to \(t = b\)?

🔹 A. \(\frac{1}{b-a} \int_a^b v(t) \, dt\)

🔹 B. \(\int_a^b v(t) \, dt\)

🔹 C. \(\frac{v(b) - v(a)}{b-a}\)

🔹 D. \(\frac{b-a}{\int_a^b v(t) \, dt}\)

💡 Difficulty: easy | ✅ Correct: A

Q2. What is the average value of \(f(t) = \sin t\) on \([0,\pi]\)?

🔹 A. \(1/\pi\)

🔹 B. \(\pi/2\)

🔹 C. 0

🔹 D. \(2/\pi\)

💡 Difficulty: medium | ✅ Correct: D

Q3. Using the method of exhaustion, which inequality is true for the inscribed hexagon (\(n = 6\)) in a unit circle?

🔹 A. \(A(6) < \pi < 2A(6)\)

🔹 B. \(2A(6) < \pi < 3A(6)\)

🔹 C. \(A(6) < \pi < 3A(6)\)

🔹 D. \(\pi < A(6)\)

💡 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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