← Back to 5. The derivative in graphing and applications

📝 Speeding Up And Slowing Down In Rectilinear Motion

📖 From Calculus • 5. The derivative in graphing and applications • 75 questions available

Practice MCQs for Speeding Up And Slowing Down In Rectilinear Motion. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-15

Easy Questions

Medium Questions

Hard Questions

📝 Sample Questions

Q1. Which of the following best defines speed?

🔹 A. The magnitude of the velocity vector.

🔹 B. The rate of change of displacement with respect to time, including direction.

🔹 C. The vector quantity describing how fast an object moves.

🔹 D. The derivative of acceleration.

💡 Difficulty: easy | ✅ Correct: A

Q2. Given the position function \(s(t)=t^{3}-6t^{2}+9t\), for which time intervals is the particle speeding up?

🔹 A. \(0<t<1\) and \(2<t<3\)

🔹 B. \(1<t<2\) and \(t>3\)

🔹 C. Never

🔹 D. All t

💡 Difficulty: medium | ✅ Correct: B

Q3. A cyclist’s speed follows \(v(t)=5\sin(\pi t/4)\) (m/s) for \(0\le t\le8\). What is the total distance traveled during this interval?

🔹 A. \(20\ \text{m}\)

🔹 B. \(40\ \text{m}\)

🔹 C. \(50\ \text{m}\)

🔹 D. \(80\ \text{m}\)

💡 Difficulty: hard | ✅ Correct: D

⬆️ View all questions in the quiz below

🔗 Related Topics

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

🚀 Start Quiz 📝 Practice Mode