2.4.21. [Level 2] A car is traveling along a horizontal
race track. From A to B the track is straight, and from B to D
it is in the form of a circular arc. The car is accelerating from
A to C with a constant tangential acceleration of 5 ft/s².
Its velocity at A is 80 ft/s. The distance from A to B is
300 ft and from B to C the distance is 300 ft as well. The
magnitude of the car's total acceleration (accounting for
both normal and tangential components) is 5 ft/s² at A and
14.6 ft/s² at C. What is the track's radius of curvature at C?
D
C
A
B
E2.4.21