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I can't get the answer?

  1. Jul 15, 2011 #1
    You can find this problem with supplemental pics on page 6 at http://www.physics.princeton.edu/~mcdonald/examples/ph101_2006/learning_guide_ph101_2006.pdf

    Suppose that the maximum possible acceleration for passengers standing on a subway is 0.1 m/s^2 and that two subway stations are 0.7 km apart.

    What is the minimum possible time taken between the two subways stations?
    ___________________________________________________________________

    The answer is 170 seconds. I keep getting 118 seconds :(

    My calculations are as follows:

    x = (0.5)(acceleration)(time^2) where x = 700 meters and acceleration is 0.1

    thus, sqrt(2x/acceleration) = time = 118

    Can anybody tell me what I am doing wrong?
     
    Last edited: Jul 15, 2011
  2. jcsd
  3. Jul 15, 2011 #2
    I think the train has to stop at both stations, so you need to impose the condition that the velocity at both stations is zero. Right now the velocity won't be zero at the next station.
     
  4. Jul 15, 2011 #3

    Doc Al

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    Staff: Mentor

    What must the speed be at the start and end of the trip?
     
  5. Jul 15, 2011 #4
    They may be thinking that you accelerate fo half the distance, then decelerate for the remaining half.
     
  6. Jul 15, 2011 #5
    Yes! Thank you so much everyone!
     
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