What are parametric equations used for?

Camila Glenn

Camila Glenn

Answered question

2022-04-19

What are parametric equations used for?

Answer & Explanation

umkhululiueyj

umkhululiueyj

Beginner2022-04-20Added 12 answers

Explanation:
Parametric equations are useful when a position of an object is described in terms of time t. Let us look at a couple of example.
Example 1 (2-D)
If a particle moves along a circular path of radius r centered at (x0,y0), then its position at time t can be described by parametric equations like:
{x(t)=x0+rcosty(t)=y0+rsint
Example 2 (3-D)
If a particle rises along a spiral path of radius r centered along the z-axis, then its position at time t can be described by parametric equations like:
{x(t)=rcosty(t)=rsintz(t)=t
Parametric equations are useful in these examples since they allow us to describe each coordinate of the position of a particle separately in terms of time.

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