A car is traveling at a speed of v(t) = 20t^2 + 10t when it passes a certain point at time t = 0. Which of the following statements about the car's speed at time t = 3 s is true?

Core Concept

This question tests the student's understanding of rates of change and limits. The car's speed is increasing at time t = 3 s, as the derivative of v(t) is positive. Option B is incorrect because the car's speed is increasing, not decreasing. Option C is incorrect because the car's speed is not constant or neither increasing nor decreasing; it is increasing. Option D is incorrect because the car's speed is not constant.