Question

По арене цирка диаметром 12 метров бежит лошадь. Определите путь и перемещение лошади за 3/4 периода её движения.

Answer 1

диаметр D=12м

t=3/4Т

 

путь - L-?

радиус R=D/2=6м

окружность С=pi*D =12pi

L=3/4*C= 3/4*12pi=9pi=28,2744 м = 28.2 м

перемещение лошади  S-? - это хорда окружности

S = R√2=6√2=8.485 м = 8.5 м

 

Ответ  путь  28.2 м   перемещение 8.5 м

 

Answer 2

Calculation of the Path and Displacement of a Horse on a Circus Arena

To determine the path and displacement of a horse running on a circus arena with a diameter of 12 meters for 3/4 of its movement period, we need to consider the concepts of path and displacement.

Path refers to the actual distance covered by an object during its motion. In this case, the path of the horse is the distance it travels around the circumference of the arena.

Displacement refers to the change in position of an object from its initial position to its final position. It is a vector quantity that includes both magnitude and direction. In this case, the displacement of the horse is the straight-line distance from its initial position to its final position.

To calculate the path and displacement, we can use the formulas:

Path = Circumference of the arena Displacement = Diameter of the arena

Let's calculate the path and displacement for the given scenario.

Calculation:

1. Circumference of the arena: - The formula for the circumference of a circle is given by: C = 2πr, where C is the circumference and r is the radius. - The diameter of the arena is given as 12 meters, so the radius is half of the diameter, which is 6 meters. - Substituting the values into the formula, we get: C = 2π(6) = 12π.

2. Path covered by the horse for 3/4 of its movement period: - To calculate the path, we need to find 3/4 of the circumference of the arena. - Multiplying the circumference by 3/4, we get: Path = (3/4) * 12π = 9π.

3. Displacement of the horse for 3/4 of its movement period: - The displacement is equal to the diameter of the arena, which is 12 meters.

Answer:

Therefore, for 3/4 of its movement period, the horse covers a path of 9π meters and has a displacement of 12 meters.

Please note that the above calculations assume that the horse is running along the circumference of the arena in a straight line. The actual path and displacement may vary depending on the specific movement of the horse.