Which is the best example of the use of parametric equations?

A. Measuring weight on the moon.

B. Finding the position of a person in a city.

C. Determining the position of a satellite during a specific time of day.

D. Finding the right parameters to use for a construction project.

satellite position is likely to be x, y , z of t :)

The best example of the use of parametric equations is:

C. Determining the position of a satellite during a specific time of day.

Parametric equations allow us to describe the position of an object in terms of one or more independent variables. In the case of determining the position of a satellite, parametric equations can be used to express its coordinates (e.g., latitude, longitude, and altitude) as functions of time. This allows for accurate predictions and tracking of the satellite's position at any given time.

The best example of the use of parametric equations is option C: determining the position of a satellite during a specific time of day.

Parametric equations involve expressing multiple variables in terms of a single parameter. They are commonly used in mathematics and physics to describe the motion or position of an object in a coordinate system.

Option A, measuring weight on the moon, does not require the use of parametric equations as it is a simple conversion of units using gravitational force. Option B, finding the position of a person in a city, can be done using Cartesian coordinates or a map, which does not necessitate parametric equations.

However, option C involves tracking the position of a satellite, which can move in three-dimensional space over time. Parametric equations allow for the representation of both position and time by expressing the coordinates of the satellite as functions of a parameter, such as time. This enables accurate determination of its position at any given time.

Therefore, option C is the most appropriate example that demonstrates the use of parametric equations.