A student builds and calibrates an accelerometer, which she uses to determine the speed of her car around a certain unbanked highway curve. The accelerometer is a plumb bob with a protractor that she attaches to the roof of her car. A friend riding in the car with her observes that the plumb bob hangs at an angle of 14.0° from the vertical when the car has a speed of 25.0 m/s.

(a) What is the centripetal acceleration of the car rounding the curve?
(b) What is the radius of the curve?

(c) What is the speed of the car if the plumb bob deflection is 7.00° while rounding the same curve?