Answer:
D
Explanation:
The graph shows a constant angular acceleration of 6 rad/s².
For constant acceleration, the angular velocity is:
ω = ω₀ + αt
where ω₀ is the initial angular velocity, α is the angular acceleration, and t is time.
In this case, ω₀ = -3 rad/s (since clockwise is negative). Therefore, the equation for the angular velocity is:
ω = -3 + 6t
This is a line with a positive slope and negative y-intercept, so the answer is D.
