Answer : [tex]a_c=40500\ mi/h^2[/tex].
Explanation :
It is given that,
Velocity of a race car, v = 135 mi/hr
Radius of the track, r = 0.45 miles
We know that the centripetal acceleration is defined as :
[tex]a_c=\dfrac{v^2}{r}[/tex]
r is the radius of the circle.
[tex]a_c=\dfrac{(135\ mi/hr)^2}{0.45\ mi}[/tex]
[tex]a_c=40500\ mi/h^2[/tex]
So, the centripetal acceleration of the car is [tex]a_c=40500\ mi/h^2[/tex].
Hence, this is the required solution.
