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Other tools you may find usefulPath in physics - definition, concept of the path of motion and units
Path (symbol: s, from the Latin wordspatium) is the length of the section of the path traversed by a moving material point or physical body in a specific time. A motion path is a geometric line along which an object moves. It is very important in physics to distinguish two concepts: distance (which is a scalar quantity, always positive and increasing during movement) and displacement (which is a vector quantity connecting the starting point with the end point in a straight line). The basic unit of distance in the SI system is the meter (m). In everyday life and transport, kilometers (km) or land and sea miles are most often used.
Our automatic online distance calculator allows you to instantly calculate the distance traveled. Just enter the speed and movement time to receive a precise result with detailed units and formula.
Formula for the distance in uniform straight-line motion
In uniform straight-line motion, i.e. one in which the direction and speed of the body do not change, the distance (s) is directly proportional to the duration of the movement (t) and the speed (v):
s = v × t
where:
- sis the distance (distance),
- vis the speed,
- tis the movement time.
When calculating, it is essential to ensure consistency of units. If the speed is given in kilometers per hour (km/h), the movement time must be given in hours (h). If the time is given in minutes or seconds, it must first be converted to hours.
Conversion table: speed and time versus distance traveled
The table below shows examples of distances (distances) covered by various objects depending on their speed and travel time:
| Moving object | Average speed (v) | Movement time (t) | Distance traveled in meters (m) | Distance traveled in kilometers (km) |
|---|---|---|---|---|
| Red snail | 0.012 m/s (approx. 0.04 km/h) | 10 minutes (600 s) | 7.2 m | 0.007 km |
| Man walking | 5 km/h | 2 hours | 10,000 m | 10.0 km |
| Cyclist | 20 km/h | 1.5 hours | 30,000 m | 30.0 km |
| Car in the city | 50 km/h | 30 minutes (0.5 h) | 25,000 m | 25.0 km |
| Car on highway | 140 km/h | 3 hours | 420,000 m | 420.0 km |
| Passenger plane | 850 km/h | 4 hours | 3,400,000 m | 3,400.0 km |
| Satellite in orbit | 7.8 km/s (28,080 km/h) | 1 hour | 28,080,000 m | 28,080.0 km |
How to calculate the distance when the time is in minutes and the speed is in km/h?
Let's consider a practical example: a car moves at a constant speed of90 km/hfor20 minutes. How to calculate the distance traveled?
- Speed is in km/h and time is in minutes. We need to standardize the units - convert minutes into hours.
- Knowing that 1 hour is 60 minutes, 20 minutes is:
t = 20 / 60 = 1/3 hour(approx. 0.33 h). - We substitute the values into the distance formula:
s = v × t = 90 km/h × 1/3 h = 30 km. - Conclusion: The car will cover a distance of 30 kilometers in this time.
Frequently asked questions (FAQ)
How to calculate a path in physics?
In uniform motion, the distance is calculated by multiplying the velocity of the body by the time it took to move. The formula is s = v × t.
What is the formula for a distance in uniformly accelerated motion?
If a body starts from rest (initial velocity is 0) and moves with acceleration "a", the formula for the distance is: s = a × t² / 2.
What is the difference between distance and displacement?
Distance is the total length of the path traveled by the body (it always increases). Displacement is a vector connecting the starting point directly to the end point. For example, if you run one lap in a 400 m stadium, your distance is 400 m, but your displacement is 0 (because you returned to the same place).
What does the "s" symbol in the road formula mean?
The symbol "s" comes from the Latin wordspatium, meaning space, space or way.
What are the basic units of a road?
In the SI system, the basic unit is meter (m). Kilometers (km), centimeters (cm), millimeters (mm), and in Anglo-Saxon countries miles and feet are also commonly used.