Why is the first hill on a roller coaster the highest?

The first hill of a roller coaster is always the highest point of the roller coaster because friction and drag immediately begin robbing the car of energy. At the top of the first hill, a car's energy is almost entirely gravitational potential energy (because its velocity is zero or almost zero).



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(d) Due to frictional lost, the mechanical energy of the coaster has decreased, so the second hill has to be lower than the first one.

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Roller coasters almost always begin with an initial vertical drop. A motor hauls the cars to the top of a high hill and from that point on gravity is doing all the work. Typical vertical drops might range in height from 50 - 80 meters.

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Each gain in height corresponds to the loss of speed as kinetic energy (due to speed) is transformed into potential energy (due to height). Each loss in height corresponds to a gain of speed as potential energy (due to height) is transformed into kinetic energy (due to speed).

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Basic mathematical subjects such as calculus help determine the height needed to allow the car to get up the next hill, the maximum speed, and the angles of ascent and descent. These calculations also help make sure that the roller coaster is safe. No doubt about it--math keeps you on track.

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The purpose of the coaster's initial ascent is to build up a sort of reservoir of potential energy. The concept of potential energy, often referred to as energy of position, is very simple: As the coaster gets higher in the air, gravity can pull it down a greater distance. You experience this phenomenon all the time.

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This places some limits on the design. For example, the coaster car can't go through a loop or over a hill that is taller than the initial hill because going higher would require more energy than it has available. If the track is too long, friction might eventually cause the coaster car to come to a complete stop.

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Almost all roller coaster designers build a track that brings you back down. At the top of the first and tallest hill, your potential energy is at its highest it will ever be on this ride. As you begin to descend, your potential energy decreases until it's all gone at the bottom of the hill.

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06 September 22 - 5 Interesting Facts About Roller Coasters
  • The First Roller Coaster was Built in 1817. ...
  • Britain's Oldest Surviving Roller Coaster was Built in 1920. ...
  • There are More Than 2,400 Roller Coasters in the World Today. ...
  • Roller Coaster are Among the Safest Rides. ...
  • Roller Coaster Loops are Never Perfectly Circular.


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A roller coaster is a machine that uses gravity and inertia to send a train of cars along a winding track. The combination of gravity and inertia, along with g-forces and centripetal acceleration give the body certain sensations as the coaster moves up, down, and around the track.

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Most roller coasters run by the Law of Inertia. Since an object at rest stays at rest, all roller coasters have to be pushed or pulled to get started.

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If the tracks tilt up, gravity applies a downward force on the back of the coaster, so it decelerates. Since an object in motion tends to stay in motion (Newton's first law of motion), the coaster car will maintain a forward velocity even when it is moving up the track, opposite the force of gravity.

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Mass does not make a roller coaster go faster but it does make it harder to slow down. This is why amusement parks test roller coasters with dummies filled with water. The water dummies increase the mass of the train making it harder for the resistance forces to slow it down so it's less likely to get stuck.

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We see that velocity of the roller coaster is independent of its mass and is solely dependent on local g and initial h . Therefore, for an ideal roller coaster an empty roller coaster or a full roller coaster will take the same amount of time for a single trip.

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The higher the hill, the greater the potential or stored energy of the roller coaster car. When the car reaches the bottom of the hill, the potential energy has been completely converted into kinetic energy which is the energy of motion.

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Lift hills usually propel the train to the top of the ride via one of two methods: a chain lift involving a long, continuous chain which trains hook on to and are carried to the top; or a drive tire system in which multiple motorized tires (known as friction wheels) push the train upwards.

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