Consider the parametric curve given by the equations:

How many units of distance are covered by the point P(t) = (x(t),y(t)) between t=0, and t=3 ?

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- Dec 10th 2009, 07:38 AMderekjonathonParametric Equation
Consider the parametric curve given by the equations:

How many units of distance are covered by the point P(t) = (x(t),y(t)) between t=0, and t=3 ? - Dec 10th 2009, 07:53 AMTheEmptySet
There are few ways to do this problem

1: use the arc length fromula

This gives

Just simplify and integrate and you are done.

2: subtract the equations from each other to get

Note that

Since the above is a line with slope one we can use the pythagorean theorem. So both sides have length 99