Using the graph, describe how the kinetic and potential energy change at each labeled point (top of the hill, middle of the descent, bottom of the hill, and smaller hill). You should have 4 answers in order to fully answer this question.

Question

Rollercoaster – Fun Labs

Answer 1

To analyze the changes in kinetic and potential energy at each labeled point of a rollercoaster graph, we can describe the energy transformations as follows:

1. Top of the Hill:

   • Potential Energy (PE): At the top of the hill, potential energy is at its maximum because the height above the ground is greatest.
   • Kinetic Energy (KE): Kinetic energy is at its minimum since the rollercoaster is momentarily at rest before descending.

2. Middle of the Descent:

   • Potential Energy (PE): As the rollercoaster descends, potential energy decreases because the height is lower than at the top of the hill.
   • Kinetic Energy (KE): Kinetic energy increases as the rollercoaster gains speed during the descent, converting potential energy into kinetic energy.

3. Bottom of the Hill:

   • Potential Energy (PE): At the bottom of the hill, potential energy is at its minimum since the rollercoaster is at its lowest point.
   • Kinetic Energy (KE): Kinetic energy is at its maximum due to the highest speed of the rollercoaster as a result of the conversion of potential energy from the high points.

4. Smaller Hill:

   • Potential Energy (PE): As the rollercoaster climbs the smaller hill, potential energy increases again, but it is not as high as at the top of the initial hill because the height is lesser.
   • Kinetic Energy (KE): Kinetic energy decreases as the rollercoaster slows down while ascending the hill, as it converts some kinetic energy back into potential energy.

This sequence illustrates the conservation of energy principle: as potential energy decreases, kinetic energy increases and vice versa, highlighting the dynamic interplay between the two forms of energy throughout the rollercoaster's journey.