AP Calculus ABeasymcq1 pt

A car is traveling at a speed of v(t) = 20t² + 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?

A.C) The car's speed is neither increasing nor decreasing.
B.D) The car's speed is constant.
C.A) The car's speed is increasing.
D.B) The car's speed is decreasing.

Explanation

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.

Correct Answer

CA) The car's speed is increasing.

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