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Metre per second

Metre per second is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Metre per second rather than just read about it. In short: The metre per second (alternatively spelled meter per second) is the unit of both speed (a scalar quantity) and velocity (a vector quantity, which has direction and magnitude) in the International System of Units (SI), equal to the speed of a body covering a distance of one metre in a time of one second. As the base unit for speed in the SI, it is commonly used in physics, mechanics, and engineering contexts.

Metre per second — main illustration
Metre per second — illustration

Key takeaways

  • Metre per second belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Metre per second to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Metre per second from memory before moving on to harder problems.

Reference excerpt

The metre per second (alternatively spelled meter per second) is the unit of both speed (a scalar quantity) and velocity (a vector quantity, which has direction and magnitude) in the International System of Units (SI), equal to the speed of a body covering a distance of one metre in a time of one second. As the base unit for speed in the SI, it is commonly used in physics, mechanics, and engineering contexts. It represents both scalar speed and vector velocity, depending on context. According to the definition of metre, 1 m/s is exactly ⁠1/299792458⁠ of the speed of light.

The SI unit symbols are m/s, m·s−1, m s−1, or ⁠m/s⁠.

Conversions 1 m/s is equivalent to:

= 3.6 km/h (exactly) ≈ 3.2808 feet per second (approximately) ≈ 2.2369 miles per hour (approximately) ≈ 1.9438 knots (approximately) 1 foot per second = 0.3048 m/s (exactly) 1 mile per hour = 0.44704 m/s (exactly) 1 km/h = 0.27777.... m/s (exactly)

History and Standardization The metre per second became the official SI derived unit for both speed and velocity with the establishment of the International System of Units (SI) in 1960 by the General Conference on Weights and Measures (CGPM). Prior to this, various units such as feet per second, miles per hour, and knots were more commonly used, depending on the region and application. The unit derives from the SI base units of metre (length) and second (time), both of which were defined more precisely in the 20th century. The metre was originally based on the dimensions of the Earth, but is now defined by the distance light travels in vacuum in 1/299792458 of a second. The second is defined using the vibration frequency of caesium atoms (9192631770 oscillations per second). Because of its accuracy, simplicity and preciseness, this unit is adopted as the official unit of speed and velocity and is almost always used as the unit of speed and velocity in scientific occasions.

Relation to other measures The benz, named in honour of Karl Benz, has been proposed as a name for one metre per second. Although it has seen some support as a practical unit, primarily from German sources, it was rejected as the SI unit of velocity and has not seen widespread use or acceptance. The square of metres per second, or square metre per square second, is used as a unit of gravitational potential.

Unicode character The "metre per second" symbol is encoded by Unicode at code point U+33A7 ㎧ SQUARE M OVER S.

See also Orders of magnitude (speed) Metre per second squared Metre

References

External links Official BIPM definition of the metre Official BIPM definition of the second

Illustrations

Metre per second: A velocity(In vector metres per second) versus time chart. It shows how the unit metre per second is often used in scientific and educational occasions.
A velocity(In vector metres per second) versus time chart. It shows how the unit metre per second is often used in scientific and educational occasions.

Worked examples

Example 1 — a first encounter with Metre per second

Start with the simplest possible case. Write down what Metre per second claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Metre per second before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Metre per second ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Metre per second

In research
Metre per second appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Metre per second in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Metre per second is common in secondary-school and first-year university syllabi. It links to neighbouring topics SI derived units, Units of velocity, so understanding it makes those chapters shorter.
In everyday life
Look for Metre per second outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Metre per second in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Metre per second means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Metre per second out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Metre per second in simple terms?

The metre per second (alternatively spelled meter per second) is the unit of both speed (a scalar quantity) and velocity (a vector quantity, which has direction and magnitude) in the International System of Units (SI), equal to the speed of a body covering a distance of one metre in a time of one s…

Why does Metre per second matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Metre per second?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Metre per second.

Tags

  • SI derived units
  • Units of velocity

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