AP Physics 1 Question of the Day

1. $10\,\text{rad}$ (correct answer)
2. $7\,\text{rad/s}$
3. $14\,\text{rad}$
4. $4\,\text{rad/s}^2$

Explanation: This problem involves calculating angular displacement with constant acceleration. Using the kinematic equation Δθ = ω₀t + ½αt², with ω₀ = 3 rad/s, α = 2 rad/s², and t = 2 s, we get Δθ = 3(2) + ½(2)(2²) = 6 + ½(2)(4) = 6 + 4 = 10 rad. The first term (6 rad) represents displacement due to initial velocity, while the second term (4 rad) is the additional displacement from acceleration. Choice B (7 rad/s) confuses final velocity with displacement, while choice C (14 rad) might come from incorrect calculation. For constant acceleration problems, use the complete kinematic equation including both velocity and acceleration terms.