1. **State the problem:** We need to find the time $t$ it takes for an object to fall 1,024 feet given the formula for distance fallen: $$s = 16t^2$$ 2. **Write the formula and plug in the known value:** The distance $s$ is 1,024 feet, so: $$1024 = 16t^2$$ 3. **Solve for $t^2$:** Divide both sides by 16: $$t^2 = \frac{1024}{16} = 64$$ 4. **Find $t$ by taking the square root:** $$t = \sqrt{64} = 8$$ 5. **Interpret the result:** It will take 8 seconds for the object to fall 1,024 feet. **Final answer:** 8 seconds