please help, this is due tomorrow

True or false. justify your answer.

if horse A is twice as far as horse B from the center of a merry-go-round, then horse A travels twice as fast as horse B​

Respuesta :

Answer:

  • True

Step-by-step explanation:

Horse A travels twice the distance horse B travels.

It is because the distance, the circumference of circle, is the function of the radius. The circumference is directly proportional with the radius.

Since r₁ = 2r₂, the distance is:

  • C₁ = 2πr₁ = 4πr₂
  • C₂ = 2πr₂

The time of travel is same so the difference is reflected in the speed.

The horse A has twice the speed of horse B.