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Almost all airplanes hit the runway vertically less than a 100 feet per minute, which is like less than traveling 2 feet per second. However, the horizontal speed varies greatly. Glides can land at speeds below 40 mph, while large comerical airliners will land at around 150-170 mph. It depends on the design of the wing, the wing loading, and most importantly, when it will stall. Almost all aircraft basically stall (sometimes fully, sometines partically) upon landing.
Let's first assume the wind is a tailwind blowing in the same direction as the aircraft as it moves down the runway. We can now solve for the plane's airspeed using the relationship: Since the tailwind subtracts from the ground speed of 180 mph, the plane's airspeed is only 155 mph (250 km/h). This speed is insufficient to lift off, so the plane needs a longer runway to make up that extra 25 mph and generate the lift needed to takeoff.