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AP® Calculus AB-BC

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Moderate

Speed Of A Particle

APCALC-LJ4GOX

A particle is moving in the $xy$-plane at time $t>0$ is given by $x( t ) ={ 2t }^{ 2 }$ and $y( t ) ={ t }^{ 3 }-4t+6$. What is the speed of the particle at time $t=1$?

A

$\sqrt 7$

B

$\sqrt 3$

C

$\sqrt {15}$

D

$\sqrt {17}$