wikiHow
Distance Calculator
To calculate distance using average speed and time, you can use the following formula:
Distance = Average Speed × Time
In this formula, "Average Speed" refers to the average rate at which an object covers a certain distance over a given time period, and "Time" represents the duration of the travel.
To use this formula, ensure that the average speed and time are expressed in consistent units (e.g., meters per second and seconds, kilometers per hour and hours, etc.). Multiply the average speed by the time taken to get the distance traveled during that time.
Here's an example to illustrate the calculation:
Example:
A car travels at an average speed of 60 kilometers per hour for a duration of 2.5 hours. What distance did the car cover?
Distance = Average Speed × Time
Distance = 60 km/h × 2.5 hours
Distance = 150 kilometers
Therefore, the car covered a distance of 150 kilometers.
Remember to ensure that the units for average speed and time are consistent and that you use the appropriate conversion factors if needed.
To find the distance between two points in a two-dimensional plane (x1, y1) and (x2, y2), you can use the distance formula based on the Pythagorean theorem. The formula is as follows:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Here's a step-by-step guide on how to calculate the distance between two points:
Identify the coordinates of the two points: (x1, y1) and (x2, y2).
Substitute the coordinates into the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Calculate the differences between the x-coordinates and the y-coordinates:
Difference in x-coordinates = x2 - x1
Difference in y-coordinates = y2 - y1
Square each difference:
Square of the difference in x-coordinates = (x2 - x1)^2
Square of the difference in y-coordinates = (y2 - y1)^2
Add the squared differences together:
Sum of squared differences = (x2 - x1)^2 + (y2 - y1)^2
Take the square root of the sum:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Calculate the square root using a calculator or mathematical software to obtain the distance between the two points.
It's important to note that the distance formula assumes a two-dimensional Euclidean space. If you're working with three-dimensional coordinates, you can extend the formula by including the squared difference in the z-coordinates and taking the cube root instead of the square root.
By following these steps and using the distance formula, you can find the distance between two points in a two-dimensional plane.
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