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AP® Calculus AB-BC

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Moderate

Distance with Parametric Equations

APCALC-FIGKNL

The position of a particle for $t\geq0$ is given by the parametric equations $x=t^2+t$ and $y=2t-1$.

For the interval $\left[-5, 5\right]$ what is the minimum distance between the particle and the origin?

A

$0$

B

$0.324$

C

$0.555$

D

$0.75$