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Unformatted text preview: ters per second, of Runner A. The velocity, in meters per second, of
24t
Runner B is given by the function v defined by v(t ) =
.
2t + 3
(a) Find the velocity of Runner A and the velocity of Runner B at time t = 2 seconds. Indicate units of
measure.
(b) Find the acceleration of Runner A and the acceleration of Runner B at time t = 2 seconds. Indicate units
of measure.
(c) Find the total distance run by Runner A and the total distance run by Runner B over the time interval
0 ≤ t ≤ 10 seconds. Indicate units of measure. Copyright © 2000 College Entrance Examination Board and Educational Testing Service. All rights reserved.
AP is a registered trademark of the College Entrance Examination Board.
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3 2000 AP® CALCULUS AB FREERESPONSE QUESTIONS 3. The figure above shows the graph of f , the derivative of the function f , for 7 x 7. The graph of f has
horizontal tangent lines at x = 3, x = 2, and x = 5, and a vertical tangent line at x = 3.
(a) Find all values of x, for 7 < x < 7, at which f attains a relative minimum. Justify your answer.
(b) Find all values of x, for 7 < x < 7, at which f attains a relative maximum. Justify your answer.
(c) Find all values of x, for 7 < x < 7, at which f ( x ) < 0.
(d) At what value of x, for 7 x 7, does f attain its absolute maximum? Justify your answer. END OF PART A OF SECTION II Copyright © 2000 College Entrance Examination Board and Educational Testing Service. All rights reserved.
AP is a registered trademark of the College Entrance Examination Board.
4 2000 AP® CALCULUS AB FREERESPONSE QUESTIONS
CALCULUS AB SECTION II, Part B
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 Fall '14

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