2000 Free Response

The velocity in meters per second of 24t runner b is

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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. GO ON TO THE NEXT PAGE. -3- 2000 AP® CALCULUS AB FREE-RESPONSE QUESTIONS 3. The figure above shows the graph of f ‡, the derivative of the function f , for -7 ˆ x ˆ 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 ˆ x ˆ 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 FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B Time— 4...
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