📝 Finding Position And Velocity By Integration

📖 From Calculus • 6. Integration • 23 questions available

Practice MCQs for Finding Position And Velocity 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. What is the area under \(y = 2x\) from \(x = 0\) to \(x = 3\)?

🔹 A. 6

🔹 B. 9

🔹 C. 12

🔹 D. 15

💡 Difficulty: easy | ✅ Correct: B

Q2. A particle moves with velocity \(v(t) = 6t - 4\) m/s, starting at \(s(0) = 3\) m. What is its position at \(t = 5\) s?

🔹 A. 55 m

🔹 B. 56 m

🔹 C. 57 m

🔹 D. 58 m

💡 Difficulty: medium | ✅ Correct: D

Q3. Given acceleration \(a(t) = 3t^2\) m/s², initial velocity \(v(0) = -2\) m/s, and initial position \(s(0) = 4\) m, find the position function \(s(t)\).

🔹 A. \(\frac{t^4}{4} - 2t + 4\)

🔹 B. \(\frac{t^4}{4} + 2t + 4\)

🔹 C. \(\frac{t^4}{3} - 2t + 4\)

🔹 D. \(t^3 - 2t + 4\)

💡 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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