📝 Free Fall Model

📖 From Calculus • 6. Integration • 21 questions available

Practice MCQs for Free Fall Model. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

Easy Questions

Medium Questions

Hard Questions

Q1. What is the distance fallen by an object released from rest after 3 seconds, ignoring air resistance?

🔹 A. 9.0 m

🔹 B. 13.5 m

🔹 C. 19.6 m

🔹 D. 29.4 m

💡 Difficulty: easy | ✅ Correct: C

Q2. An object is thrown downward with an initial speed of 5 m/s from a 20‑m height. Ignoring air resistance, how far does it travel after 2 seconds?

🔹 A. 20.0 m

🔹 B. 30.0 m

🔹 C. 39.2 m

🔹 D. 49.6 m

💡 Difficulty: medium | ✅ Correct: C

Q3. Solve the differential equation \(m \frac{dv}{dt} = mg - kv^2\) for an object falling with quadratic drag. Which form best represents \(v(t)\)?

🔹 A. \(v(t) = \sqrt{\frac{mg}{k}} \tanh\left( \sqrt{\frac{gk}{m}} t \right)\)

🔹 B. \(v(t) = \sqrt{\frac{mg}{k}} \cot\left( \sqrt{\frac{gk}{m}} t \right)\)

🔹 C. \(v(t) = \frac{mg}{k} e^{-kt/m}\)

🔹 D. \(v(t) = \sqrt{\frac{mg}{k}} \sin\left( \sqrt{\frac{gk}{m}} t \right)\)

💡 Difficulty: hard | ✅ Correct: A

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