A car is traveling at a speed of v(t) = 20t^3 + 10t^2 when it passes a certain point at time t = 0. The primary reason why the speed of the car is increasing at time t = 3 s is that the

Core Concept

This question tests the student's understanding of rates of change and limits. The primary reason why the speed of the car is increasing at time t = 3 s is that the derivative of the function v(t) is positive. Option A is incorrect because the hill is not mentioned in the problem. Option B is incorrect because the problem does not mention a hill. Option D is incorrect because the function does not have a local maximum at t = 3 s.