Answer:
The true statements are;
The car makes one complete revolution in 12 s
The radius of the Ferris wheel is 25 yd
Step-by-step explanation:
The values of the table of the given Ferris wheel are presented here as follows;
![\begin{array}{cc}Time \ (seconds) &Height \ (yards)\\0&30\\3&55\\6&30\\9&5\\12&30\\15&55\\18&30\\21&5\\24&30\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7DTime%20%5C%20%28seconds%29%20%26Height%20%5C%20%28yards%29%5C%5C0%2630%5C%5C3%2655%5C%5C6%2630%5C%5C9%265%5C%5C12%2630%5C%5C15%2655%5C%5C18%2630%5C%5C21%265%5C%5C24%2630%5Cend%7Barray%7D)
From the table, we have;
The time it takes the Ferris wheel to complete a motion round from a height of 30 yards and back to 30 yards which is one revolution = 12 s
∴ The time it takes the car to complete one revolution = 12 s
The maximum height of the Ferris wheel = 55 yards
The lowest height of the Ferris wheel = 5 yards
The time at which the Ferris wheel is at the lowest height = 9 s, and 21 s
If the car is loaded at 0 s, then people are loaded above the lowest height of the Ferris wheel
The diameter of the Ferris wheel = The maximum height of the Ferris wheel - The minimum height of the Ferris wheel
∴ The diameter of the Ferris wheel = 55 yards - 5 yards = 50 yards
The radius of the Ferris wheel, R = 1/2 × The diameter of the Ferris wheel
∴ The radius of the Ferris wheel, R = 1/2 × 50 yards = 25 yards
Therefore, the true statements are;
The car makes one complete revolution in 12 s
The radius of the Ferris wheel is 25 yd.