(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given [tex]r(t) = x(t)\textbf{i} + y(t)\textbf{j}[/tex] and

[tex]\int_0^t \left\|\frac{dr}{dt}\right\| d\tau = t.[/tex]

find, if possible, a closed form expression for x(t) and y(t).

2. Relevant equations

3. The attempt at a solution

I started by applying the fundamental theorem of calculus

[tex]\left\|\frac{dr}{dt}\right\|=1[/tex]

then evaluated and simplified and got

[tex]x(t)^2 + y(t)^2 = 1.[/tex]

Is it possible to continue from here?

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# Homework Help: Arclength math question

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