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📝 Velocity in Derivation

📖 From Calculus • 3. The Derivation • 28 questions available

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

🔄 Last updated: 2026-07-13

8
Easy Questions
12
Medium Questions
8
Hard Questions

📝 Sample Questions

Q1. A particle moves with position function \(s = f(t) = 3t^2 + 2t\). What is the average velocity over \([1,3]\)?

🔹 A. \(8\) m/s
🔹 B. \(10\) m/s
🔹 C. \(14\) m/s
🔹 D. \(6\) m/s

💡 Difficulty: easy | ✅ Correct: C

Q2. For \(s = f(t) = t^3 - 3t\), find the instantaneous velocity at \(t_0 = 1\).

🔹 A. \(0\) m/s
🔹 B. \(-2\) m/s
🔹 C. \(2\) m/s
🔹 D. \(-3\) m/s

💡 Difficulty: medium | ✅ Correct: A

Q3. For \(s = f(t) = t^2 + \frac{1}{t}\), find the velocity at \(t_0 = 1\).

🔹 A. \(1\) m/s
🔹 B. \(2\) m/s
🔹 C. \(0\) m/s
🔹 D. \(3\) m/s

💡 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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