A car in an amusement park ride rolls without friction around the track shown in the figure View Figure . It starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle.
If the car starts at height h = 72.0 m and the radius is R = 16.0 m, compute the tangential acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter.
The Attempt at a Solution
This is part of a problem and I've already solved the first three. I have the radial acceleration, the velocity at B, and the velocity at C. But I don't know how to find the tangential acceleration at C. I've tried Newton's laws already to find the acceleration so that I can use a^2 = a_rad^2 + a_tan^2 but I don't have time or distance between C and B. Can someone pls give me a nudge in the right direction? I've been struggling over this problem for two hours already. ><