The planet xyz traveling about the star abc in a circular orbit takes 24 hours to make an orbit. assume that the orbit is a circle with radius 89 comma 000 comma 00089,000,000 mi. find the linear speed of xyz in miles per hour.

v = 2.33 10⁷ mi / h

Explanation:

For this exercise we must observe that the velocity module is constant, so we can use the kinematic relation

       v = d / t

The distance traveled in each orbit is the length of the circle

      L = 2π r

The time it takes in orbit is called period (T)

Let's reduce the quantities

      r = 8.9 10⁷ mi

      t = 24 h (3600s / 1 h) = 86400 s

We replace

      v = 2π r / T

Let's calculate

     v = 2π 8.9 10⁷/86400

     v = 6.47 10³ mi / s

     v = 6.47 10³ mi / s (3600 s / 1h)

     v = 2.33 10⁷ mi / h

it about 600 mph from what i calculated

neither accurate nor precise.