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The position of a particle moving in the xy-plane at any time $t>0$ is given by $x( t ) ={ 2t }^{ 3 }-5t$ and $y( t ) ={ -3t }^{ 4 }+2t-7.$

Find the acceleration of the particle for all values of $t$.

A

$<{ 6t }^{ 2 }-5, { -12t }^{ 3 }+2>$

B

$<{-12t}^3+2, { 6t }^{ 2 }-5>$

C

$<12t,{ -36t }^{ 2 }>\quad $

D

$<-36t^2, 12t>\quad $

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