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Acceleration of Rollercoaster hill?

  1. May 10, 2009 #1
    1. The problem statement, all variables and given/known data
    Calculate the acceleration of the train during the trip down the first hill

    Time for train to go from top of hill to bottom:3.5 s
    Time for train to pass point at top of hill 1.5s
    Time for train to go from bottom to top of first hill:7 s
    Time for train to pass point of bottom of hill:1s
    Height of hill: 16.155 m

    2. Relevant equations

    d=V(initial)(t)+.5(a)(t)^2

    3. The attempt at a solution

    I tried using that equation but there is two variables missing distance and acceleration. I can't use the height of the hill because isn't this a x problem (parallel problem)? I don't understand how I can find the acceleration of the rollercoaster train during the trip down the hill with only this data.
     
  2. jcsd
  3. May 10, 2009 #2

    LowlyPion

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    With no diagram you need to be more specific.
     
  4. May 10, 2009 #3
    Okay I attached a diagram. As you can see, the train is going up and I'm trying to find the accel from the top of the hill to the bottom.
     

    Attached Files:

  5. May 10, 2009 #4

    LowlyPion

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    Until approved no one can see the picture.

    But consider the potential energy at the top and the velocity it will have at the bottom of the hill.

    m*g*h = 1/2*m*v2

    so ...

    v2 = 2*g*h

    Also you should know that

    v = a*t

    Looks like you may have enough info after all.
     
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