Step 1 :Substitute \(h=50\) into the given formula to find out how long it takes for the object to be 50 feet from the ground: \(t=\frac{\sqrt{100-50}}{4} = \frac{\sqrt{50}}{4} = \frac{5\sqrt{2}}{4} \approx 1.77 \text{ seconds}\)
Step 2 :Substitute \(h=0\) into the given formula to find out how long it takes for the object to reach the ground: \(t=\frac{\sqrt{100-0}}{4} = \frac{\sqrt{100}}{4} = \frac{10}{4} = 2.5 \text{ seconds}\)
Step 3 :So, it takes approximately \(\boxed{1.77}\) seconds for the object to be 50 feet from the ground and \(\boxed{2.5}\) seconds to reach the ground.