# Calculate velocity x and y components from Lat,Lon and Time

Geographic Information SystemsContents:

## How do you find velocity with latitude and longitude?

First we plot the two GPS points on a spherical model of the earth, then calculate the angle between them using a dot product, then calculate the ‘Great Circle’ distance using this angle and the earth’s radius and finally we divide by the elapsed time to approximate the speed.

## How do you calculate East?

Quote from video: *Minutes since place b is to the east of place a place b have the time ahead of a that is we have to add. So time at place b is equal to 10 a.m plus four however 40.*

## What is north velocity?

Velocity North = **Distance from C to B) / Time (from A to B)**

## What are the 3 formulas for velocity?

**The three equations are,**

- v = u + at.
- v² = u² + 2as.
- s = ut + ½at²

## How do you find velocity in relativity?

Quote from video: *Times u divided by C squared.*

## How to calculate distance between two points using latitude and longitude?

For this **divide the values of longitude and latitude of both the points by 180/pi**. The value of pi is 22/7. The value of 180/pi is approximately 57.29577951. If we want to calculate the distance between two places in miles, use the value 3, 963, which is the radius of Earth.

## How do you find distance using latitude and longitude?

φ is latitude, λ is longitude, R is earth’s radius (mean radius = 6,371km);

Spherical Law of Cosines.

Law of cosines: | d = acos( sin φ_{1} ⋅ sin φ_{2} + cos φ_{1} ⋅ cos φ_{2} ⋅ cos Δλ ) ⋅ R |
---|---|

Excel: | =ACOS( SIN(lat1)*SIN(lat2) + COS(lat1)*COS(lat2)*COS(lon2-lon1) ) * 6371000 |

## How do you convert longitude to time?

Quote from video:

## What is the formula to find velocity?

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation **v = Δs/Δt**. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

## How do you calculate velocity using GPS?

Step 1: Using GPS trackers to calculate speed

The formula for calculating speed is speed equals distance covered divided by the time taken often represented as **x = d/t**. By using two GPS points (locations) we can calculate the distance covered.

## How can I calculate velocity?

Determine the object’s original velocity by dividing the time it took for the object to travel a given distance by the total distance. In the equation **V = d/t**, V is the velocity, d is the distance, and t is the time.

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