Upgrade subject to access all content

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 $t=1$?

$\sqrt 7$

$\sqrt 3$

$\sqrt {15}$

$\sqrt {17}$