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Acceleration of Rollercoaster hill?

  • Thread starter alliereid
  • Start date
  • #1
18
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Homework Statement


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

Homework Equations



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

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.
 

Answers and Replies

  • #2
LowlyPion
Homework Helper
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With no diagram you need to be more specific.
 
  • #3
18
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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.
 

Attachments

  • #4
LowlyPion
Homework Helper
3,090
4
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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