Part 4: Discuss in one paragraph which aspects of your roller coaster would realistically make sense in...

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Advance Math

Part 4:

  • Discuss in one paragraph which aspects of your roller coasterwould realistically make sense in the real world and which aspectswould not. Make sure you refer to graphs you used in youranswer.
  • Looking at the example below, explain why your function rollercoaster cannot have a loop.

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Answer The underlying principle of all roller coasters is the law of conservation of energy which describes how energy can neither be lost nor created energy is only transferred from one form to another In roller coasters the two forms of energy that are most important are gravitational potential energy and kinetic energy Gravitational potential energy is the energy that an object has because of its height and is equal to the objects mass multiplied by its height multiplied by the gravitational constant PE mgh Gravitational potential energy is greatest at the highest point of a roller coaster and least at the lowest point Kinetic energy is energy an object has because of its motion and is equal to onehalf multiplied by the mass of an object multiplied by its velocity squared KE 12 mv2 Kinetic energy is greatest at the lowest point of a roller coaster and least at the highest point Potential and kinetic energy can be exchanged for one another so at certain points the cars of a roller coaster may have just potential energy at the top of the first hill just kinetic energy at the lowest point or some combination of kinetic and potential energy at all other points The first hill of a roller coaster is always the highest point of the roller coaster because friction and drag immediately    See Answer
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