3 ap calculus ab 2001 scoring guidelines question 3 a

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Unformatted text preview: All rights reserved. Advanced Placement Program and AP are registered trademarks of the College Entrance Examination Board. 3 AP® CALCULUS AB 2001 SCORING GUIDELINES Question 3 A car is traveling on a straight road with velocity 55 ft/sec at time t = 0. For 0 > t > 18 seconds, the car’s acceleration a(t ) , in ft/sec2, is the piecewise linear function defined by the graph above. (a) Is the velocity of the car increasing at t = 2 seconds? Why or why not? (b) At what time in the interval 0 > t > 18 , other than t = 0, is the velocity of the car 55 ft/sec? Why? (c) On the time interval 0 > t > 18 , what is the car’s absolute maximum velocity, in ft/sec, and at what time does it occur? Justify your answer. (d) At what times in the interval 0 > t > 18 , if any, is the car’s velocity equal to zero? Justify your answer. (a) Since v a(2)  a(2) and a(2)  15  0 , the velocity is 1 : answer and reason increasing at t = 2. £ 1 : t  12 ¦ 2:¦ ¤ ¦ 1 : reason ¦ ¥ (b) At ti...
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This document was uploaded on 05/03/2012.

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