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The centripetal acceleration  of the car is equal to [tex]22.5 \;m/s^2[/tex].

Given the following data:

  • Radius, r = 10 meter
  • Speed, V = 15 m/s.

To determine the centripetal acceleration  of the car:

Mathematically, the centripetal acceleration of an object is given by the formula:

[tex]A_c = \frac{V^2}{r}[/tex]

Where:

  • [tex]A_c[/tex] is the centripetal acceleration.
  • r is the radius of the circular track.
  • V is the velocity of an object.

Substituting the given parameters into the formula, we have;

[tex]A_c = \frac{15^2}{10}\\\\A_c = \frac{225}{10}\\\\A_c = 22.5 \;m/s^2[/tex]

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