A tsunami is one or more cataclysmic wave(s) produced through seismic activity on the ocean floor. Tsunamis often follow earthquakes, but other events such as volcanic eruptions and landslides are capable of creating the sudden seismic impact required to produce a tsunami.
Underwater seismic events produce waves that spread in all directions. This is similar to the way ripples are produced when a boy tosses a rock onto the surface of a pond. Tsunamis frequently attain speeds up to 500 miles per hour. As they approach shore, these tsunami waves are redirected by the elevated slope of the seafloor. Worse, their amplitude (height and power) increases! They travel inland and destroy everything that stands in their path.
Curiously, just before they come ashore, in the event of a tsunami, involved coastal waters may recede a considerable distance from shore. This may be the only warning a tsunami is imminent!

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Sumatra Tsunami, Koh Pu, Thailand
Image Credit: NOAA Center for Tsunami Research