📝 Analyzing Position vs Time

Q1. A particle moves along a line with position \(s(t)=3t^2-12t+7\). At what time(s) is the particle momentarily at rest?

💡 Difficulty: easy | ✅ Correct: B

Q2. If a particle’s position is given by \(s(t)=t^3-6t^2+9t\), what is the concavity of its position-time graph for \(1<t<3\)?

💡 Difficulty: medium | ✅ Correct: A

Q3. A cyclist’s distance traveled is given by \(d(t)=4t^{3}-9t^{2}+6t\). Determine the interval(s) where the cyclist is decelerating.

💡 Difficulty: hard | ✅ Correct: B