Student A claims their horse has a faster angular acceleration. Is Student A correct or incorrect?

Student A is correct because their horse is at a greater radius and starts at a greater initial angular velocity. Student A is incorrect because both horses have the same angular acceleration regardless of their radius. $$ Student A is correct because their horse is at a greater radius and covers more radians per second each second. Student A is incorrect because their horse is at a greater radius but has a smaller angular acceleration.

Student B claims their horse has a slower tangential acceleration. Is Student B correct or incorrect?

Student B is correct because their horse is at a greater radius and accelerates at a lower tangential rate. Student B is incorrect because their horse is at a smaller radius and will have a greater change in speed. $$ Student B is incorrect because both horses cover the same meters per second each second regardless of their radius. Student B is correct because their horse is at a smaller radius and accelerates at a lower tangential rate.