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AP® Calculus AB-BC

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Moderate

Satellite Path: Finding Velocity Using Parametric Vectors

APCALC-7AEFU$

A satellite in space follows a bizarre path given parametrically by:

$x(t)={ te }^{ t }$
$y(t)={ e }^{ 3t }$

...where $x$ and $y$ are measured in miles and $t$ is measured in seconds.

What is its velocity vector at $t=7$s?

A

$<8{e}^7,{e}^{21}>$

B

$<11{e}^7,5{e}^{21}>$

C

$<7{e}^7,3{e}^{21}>$

D

$<8{e}^7,3{e}^{21}>$