Name: tracking motion with position and displacement
Uploaded: 2023-09-22T11:49:39.000Z
Duration: 1 min 31 s
Channel: JoVE

Um die Bewegung eines Objekts zu beschreiben, muss seine Position relativ zu einem geeigneten Bezugssystem angegeben werden. Ein beliebiger Satz von Achsen, der die Position und Bewegung eines Objekts beschreibt, wird als Bezugsrahmen bezeichnet.
Im Allgemeinen werden die Erde oder stationäre Objekte auf der Erde als Bezugsrahmen verwendet. So könnte beispielsweise die Position eines Flugzeugs während seines Starts in Bezug auf die Erde als Ganzes oder den Kontrollturm des Flughafens beschrieben werden. Um die Position eines Objekts entlang einer eindimensionalen Bewegung zu beschreiben, verwenden wir oft die Variable x.
Angenommen, ein Objekt bewegt sich relativ zu einem Bezugsrahmen, z. B. ein Auto bewegt sich relativ zu einem Gebäude nach links, und dann ändert sich die Position des Autos. Diese Positionsänderung wird als Verschiebung bezeichnet.
Der numerische Wert von x entlang einer geraden Linie definiert jedoch die Position eines Objekts, an der es sich befinden könnte. Jede Positionsänderung entlang dieser Linie wird durch die Verschiebung angezeigt, wobei Δx die Verschiebung ist und berechnet wird, indem die Anfangsposition von der Endposition subtrahiert wird. Es handelt sich um eine Vektorgröße, da sie die Richtung angibt, und je nach Wahl der positiven Richtung kann sie entweder positiv oder negativ sein.

position und verschiebung

Die Position eines Objekts definiert seinen Standort relativ zu einem geeigneten Referenzrahmen und zu einem bestimmten Zeitpunkt. Ein Bezugssystem ist ein willkürliches System von Achsen, anhand dessen die Position und Bewegung eines Objekts beschrieben werden. Die Erde wird oft als Bezugssystem verwendet, und wir beschreiben die Position eines Objekts oft im Verhältnis zu stationären Objekten auf der Erde. Zum Beispiel könnte der Start einer Rakete anhand der Position der Rakete in Bezug auf die Erde als Ganzes beschrieben werden. Andererseits könnte die Position eines Radfahrers in Bezug auf die Gebäude, an denen er vorbeifährt, beschrieben werden. In anderen Fällen verwenden wir Bezugssysteme, die nicht stationär sind, sondern sich relativ zur Erde bewegen. Um die Position einer Person in einem Flugzeug zu beschreiben, verwenden wir zum Beispiel das Flugzeug und nicht die Erde als Bezugssystem. Um die Position eines Objekts bei eindimensionaler Bewegung zu beschreiben, verwenden wir oft die Variable x.

Wenn sich ein Objekt relativ zu einem Bezugssystem bewegt, ändert sich seine Position. Zum Beispiel, wenn ein Professor sich relativ zu einer Tafel nach rechts bewegt, hat sich die Position des Professors geändert. Diese Änderung der Position wird Verschiebung genannt. Das Wort Verschiebung impliziert, dass ein Objekt sich bewegt hat oder verschoben wurde. Obwohl die Position der numerische Wert von x entlang einer Geraden ist, an der sich ein Objekt befinden könnte, gibt die Verschiebung die Änderung der Position entlang dieser Geraden an. Da die Verschiebung eine Richtung anzeigt, ist sie eine Vektorgröße und kann entweder positiv oder negativ sein, abhängig davon, welche Richtung als positiv gewählt wurde.

Darüber hinaus kann eine Bewegungsanalyse viele Verschiebungen beinhalten. Zum Beispiel, wenn rechts positiv ist und ein Objekt sich 2 m nach rechts und dann 4 m nach links bewegt, sind die einzelnen Verschiebungen 2 m und -4 m. Die Verschiebung wird durch Δx dargestellt, was die Änderung der Position bedeutet. Wir lösen immer die Verschiebung, indem wir die Anfangsposition von der Endposition subtrahieren.

Dieser Text ist angepasst von <a href="https://openstax.org/books/university-physics-volume-1/pages/3-1-position-displacement-and-average-velocity">Openstax, University Physics Volume 1, Abschnitt 3.1: Position, Verschiebung, und Durchschnittsgeschwindigkeit.</a>

Position und Verschiebung

Die Position eines Objekts definiert seine Position relativ zu einem geeigneten Bezugssystem zu einem bestimmten Zeitpunkt. Ein Bezugsrahmen ist ein willkürlicher ...

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Position and Displacement

tracking motion with position and displacement

Position and displacement are key ideas in straight-line motion. Position tells where an object is located compared with a chosen starting point, called the origin. Displacement describes how far and in what direction the object has moved from its starting position.

These ideas help describe motion clearly. Position can change as an object moves. Displacement focuses on the change in position, not just the path taken. That makes it useful for comparing motion in a simple and precise way.

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Tracking Motion with Position and Displacement

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