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**Velocity and Kinetic
Energy**

As the roller coaster train
begins its descent from the lift hill, its velocity increases. This causes the train to gain kinetic
energy, which is the energy of motion.
The faster the train moves, the more kinetic energy the train
gains. This is shown by the equation
for kinetic energy:

## K = 1/2mv^{2}

Where K is kinetic energy, m is mass in kilograms, and v
is velocity in meters per second.
Because the mass is constant, if the velocity is increased, the kinetic
energy must also increase. This means
that the kinetic energy for the roller coaster system is greatest at the bottom
of the highest hill on the track: the bottom of the lift hill. When the train begins to climb the next hill
on the track, the train starts to slow down, thereby decreasing its kinetic
energy.

**Back to Roller Coaster Physics**

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