2
QuizMultiple Choice

Unit Test — Unit test

Question 2 • AP Calculus AB - MA5186 A

This question is designed to be answered without a calculator.An object travels along the x-axis so that its position after t seconds is given by x(t) = 2t2 – 5t – 18 for all times t such that t ≥ 0.Which inequality describes all times t for which the object is traveling toward the right?

Answer
A
0 ≤ t < 1.25
B
0 ≤ t < 4.5
C
t > 1.25
D
t > 4.5

Explanation

The object travels toward the right when its velocity is positive. Differentiate its position, x(t) = 2t² − 5t − 18, to get v(t) = 4t − 5. Solving 4t − 5 > 0 gives t > 5/4 = 1.25, so the correct choice is t > 1.25.

AI-written and checked against the verified answer.

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