A rocket is fired from rest at $x=0$ and travels along a parabolic trajectory described by $y^2=[180({10}^3)x]m.$ The

$x$ component of acceleration is $a_x=(\frac{1}{5}{t}^2)\frac{m}{s^2},$ where $t$ is in seconds.

Part A

Determine the magnitude of the rocket's velocity when $t=8s.$

Express your answer using three significant figures and include the appropriate units.

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Part B

Determine the magnitude of the rocket's acceleration when $t=8s.$

Express your answer using three significant figures and include the appropriate units.