Answer
$v=38.7$ m/s
Work Step by Step
Since the speed of the race car is constant, its tangential component of acceleration is zero, i.e. $a_t=0$. Thus,
$a=a_n=\frac{v^2}{\rho}$
$7.5=\frac{v^2}{200}$
$v=38.7$ m/s
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