📝 Computing Displacement And Distance Traveled By Integration

📖 From Calculus • 6. Integration • 22 questions available

Practice MCQs for Computing Displacement And Distance Traveled By Integration. 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. A dragster moves with velocity \(v(t) = 20 + 5t\) m/s from \(t = 0\) to \(t = 4\) s. What distance does it travel?

🔹 A. 120 m

🔹 B. 100 m

🔹 C. 130 m

🔹 D. 140 m

💡 Difficulty: easy | ✅ Correct: A

Q2. A particle has acceleration \(a(t) = 3t^2 - 4\), with \(v(0) = 5\) m/s. What is its displacement from \(t = 0\) to \(t = 2\)?

🔹 A. 6 m

🔹 B. 8 m

🔹 C. 5 m

🔹 D. 7 m

💡 Difficulty: medium | ✅ Correct: D

Q3. Why does integrating speed give distance while integrating velocity gives displacement?

🔹 A. Speed is always positive, so its integral accumulates total ground covered; velocity can be negative, so its integral accounts for direction.

🔹 B. Because speed and velocity are mathematically identical functions.

🔹 C. Integrating speed automatically squares the function, producing distance.

🔹 D. Only speed, not velocity, can be integrated.

💡 Difficulty: hard | ✅ Correct: B

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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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