Final answer:
The equation provided represents the vertical motion of an object above the ground. The correct answer is B. (-8t² + 30t - 9).
Step-by-step explanation:
The equation provided represents the vertical motion of an object above the ground. To find the distance above the ground, we need to integrate the equation with respect to time. Integrating -16t+30 + 9 gives us -16t^2/2 + 30t + 9t + C, where C is the constant of integration. Simplifying further, we have the equation -8t^2 + 39t + C.
The correct answer is B. (-8t² + 30t - 9), as it matches the equation obtained after integrating.