A motorcyclist, moving through the circus arena, passes a circle with a radius of 13 m in 8 seconds.

A motorcyclist, moving through the circus arena, passes a circle with a radius of 13 m in 8 seconds. Determine the path and module of movement of the motorcyclist: a) in 4 seconds of movement; b) for 8 seconds of movement.

R = 13 m.

t = 8 s.

t1 = 4 s.

t2 = 8 s.

S -?

L -?

The movement of the body S is a vector connecting the initial and final position of the body.

The traversed path L is the length of the trajectory of the body.

a) During the time t1 = 4 s, the motorcyclist passes half of the circle.

The distance traveled L will be equal to half the length of the circle: L = 2 * P * R / 2 = P * R.

L = 3.14 * 13 m = 40.82 m.

The movement of the body S in the time t1 = 4 s will be equal to the diameter of the circle: S = 2 * R.

S = 2 * 13 m = 26 m.

b) During the time t2 = 8 s, the motorcyclist passes 1 circle and returns to the starting position.

The distance traveled L will be equal to the circumference: L = 2 * P * R.

L = 2 * 3.14 * 13 m = 81.64 m.

The movement of the body at full revolution is 0: S = 0 m.

Answer: a) L = 40.82 m, S = 26 m, b) L = 81.64 m, S = 0 m.