Motion at changing speeds
Runway
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The lift force that lifts an airplane into the air
is caused by the rapid flow of air around the wings.
To lift into the air, the plane must reach sufficient
speed, called the lift-off speed.
The plane accelerates along the runway and
can lift off only when it reaches the lift-off speed.
Analyze the process of acceleration of an airplane
and consider the lengths of runways
necessary for lifting off.
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velocity
(km/hour) |
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time (seconds) |
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The Concorde is the fastest passenger plane today.
It flies at 2180 km/hour or twice the speed of sound, compared to
the Boeing, which reaches 85% of the speed of sound.
The lift-off speed of the Concorde
is 360 km/hour.
The linear graph above describes the Concorde's
acceleration on the runway during the first 10 seconds,
at the end of which its speed is 120 km/hour.
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What length runway does the Concorde need to lift off?
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Construct a mathematical description (using graphs, value tables, and correspondence rules) of the
Concorde's acceleration process on the runway.
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Use your descriptions to determine the length of
a runway needed for a Concorde to lift off.
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Suggest ways to change the
lift-off speed or rate of acceleration of the Concorde
to be able to lift off on runways that are only 1 kilometer long.
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