The angular position of a particle is θ = t³ - 6t² + 9t. Which statements are correct?
Select all that apply

Question

The angular position of a particle is θ = t³ − 6t² + 9t. Which statements are correct?

G1 Physics · Accepted Answer

Differentiating, ω=dθ/dt=3t²−12t+9 and α=dω/dt=6t−12. At t=1 s, ω=3−12+9=0, so the particle is instantaneously at rest. At t=2 s, α=12−12=0. Hence all statements are correct.