Answer
$v=63.2$ ft/s
Work Step by Step
Since the automobile is traveling at a constant speed, $a_t=0$.
Thus, $a_n=a=5 ft/s^2$.
$a_n=\frac{v^2}{\rho}$, we have
$v=\sqrt{\rho a_n}=\sqrt{800(5)}=63.2$ ft/s
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