While racing on a flat track, a car rounds a curve of 56 m radius and instantaneously experiences a centripetal acceleration of 36 m/s2. How fast was the car going?

Question

While racing on a flat track, a car rounds a curve of 56 m radius and instantaneously experiences a centripetal acceleration of 36 m/s2. How fast was the car going? 
I know the answer i s45 I just need to know why ASAP!!!!!!!!!!!!!!!!!!!!

Steve · Answer

a = v^2/r ar = v^2 56*36 = v^2 2016 = v^2 v = 44.9