For a spinning amusement park ride, the velocity v in meters per second of a car moving around a curve with a radius r meters is given by the formula v=sqrt(ar), where 'a' is the car’s acceleration in m/s^2.
a) for safety reasons, a ride has a minimum acceleration of 39.2m/s^2 . if the cars on the ride have a velocity of 14m/s what is the smallest radius that any curve on the ride may have?
b) what is the acceleration of a car moving at 8m/s around a curve with a radius of 2.5m?