To find the period of the orbiting ball, we first need to determine the period for one complete orbit. The period \( T \) is defined as the time it takes for one complete orbit.
Given that the time for 10 complete orbits is 25 seconds, we can calculate the period \( T \) using the following formula:
\[ T = \frac{\text{Total time for 10 orbits}}{\text{Number of orbits}} \]
Substituting the values we have:
\[ T = \frac{25 \text{ seconds}}{10} = 2.5 \text{ seconds} \]
Thus, the period of the orbiting ball is 2.5 seconds.
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