A classic 1957 Chevrolet Corvette of mass 1240 kg starts from rest and speeds up with a constant tangential acceleration of 2.00 m/s² on a circular test track of radius 60.0 m. Treat the car as a particle.

(a) What is its angular acceleration?

(b) What is its angular speed 6.00 s after it starts?

(c) What is its radial acceleration at this time?

(d) Sketch a view from above showing the circular track, the car, the velocity vector, and the acceleration component vectors 6.00 s after the car starts.

(e) What are the magnitudes of the total acceleration and net force for the car at this time?

(f) What angle do the total acceleration and net force make with the car’s velocity at this time?