(Solved): \( a_{c}=\left(v^{2}\right) / r \quad v=\omega r \quad \) or \( \quad \omega=v / r \) In the figure ...

\( a_{c}=\left(v^{2}\right) / r \quad v=\omega r \quad \) or \( \quad \omega=v / r \) In the figure below, a car with mass \( 750 \mathrm{~kg} \) is moving in a circle with a radius of \( 30 \mathrm{~m} \) at a tangential velocity of \( 12 \mathrm{~m} / \mathrm{s} \). Be sure to show your work in order to get credit. An answer without work or an explanation will receive no credit. a) On the figure above, draw the direction of the centripetal acceleration vector with the tail of the vector starting on the car and the arrow-head tip of the vector pointing in the correct direction. Do not worry about the length of the vector. b) Calculate the centripetal acceleration of the car.