The horse moves around the circus arena with a radius of 13 m, running each circle for 30 seconds.

The horse moves around the circus arena with a radius of 13 m, running each circle for 30 seconds. Find the path and movement of the horse in 1 min.

R = 13 m.
T = 30 s.
t = 1 min = 60 s.
L -?
S -?
The traversed path L is the length of the line that the body describes when moving.
With one full turn around the circus arena, the horse travels the circumference L1: L1 = 2 * п * R.
During the time t = 60 s, it makes two complete revolutions, therefore L = 2 * L1 = 4 * п * R.
L = 4 * 3.14 * 13 m = 163.28 m = 163 m.
The movement of the body S is a vector that connects the initial and final position of the body during movement.
Since the horse makes two complete turns, it returns to its original position. The start and end positions are the same: S = 0.
Answer: the movement of the horse is S = 0, the distance covered is L = 163 m.