1. **State the problem:** We have displacement values $d(t)$ of a weight oscillating over time $t$. We want to find the time interval where the weight is above its resting (equilibrium) position. 2. **Understand the resting position:** The resting position corresponds to $d(t) = 0$. When $d(t) > 0$, the weight is above the resting position. 3. **Analyze the given data:** - At $t=0.03125$, $d(t) = 0$ - At $t=0.046875$, $d(t) = 14.14 > 0$ - At $t=0.0625$, $d(t) = 20 > 0$ - At $t=0.078125$, $d(t) = 14.14 > 0$ - At $t=0.09375$, $d(t) = 0$ 4. **Determine the interval where $d(t) > 0$:** From $t=0.03125$ to $t=0.09375$, the displacement is positive except at the endpoints where it is zero. 5. **Match with given options:** - Option A: $(0.03125, 0.09375)$ matches the interval where $d(t) > 0$. **Final answer:** $$\boxed{(0.03125, 0.09375)}$$