The centripetal acceleration of a car traveling at constant speed around a frictionless circular track is:

Explanation

Centripetal acceleration is the acceleration experienced by an object moving in a circular path. It always points toward the centre of the circle and is perpendicular to the velocity of the object. The magnitude of centripetal acceleration is given by the formula a = v2/r, where v is the velocity of the object and r is the radius of the circular path. In the case of a car travelling at a constant speed around a frictionless circular track, the car's velocity remains constant (magnitude and direction) because speed is defined as the magnitude of velocity. However, the direction of velocity is constantly changing as the car moves along the circular path. Since centripetal acceleration is always directed towards the centre of the circle and perpendicular to the velocity, its magnitude remains constant, but its direction continuously changes to match the changing direction of the car's velocity.