Current Attempt in Progress A child operating a radio-controlled model car on a dock accidentally steers it off the edge. The car's displacement 1.0 s after leaving the dock has a magnitude of $8.5 \mathrm{~m}$. What is the car's speed at the instant it drives off the edge of the dock? Number Units

Step 1 ：Given the displacement \(d = 8.5 \mathrm{~m}\), time \(t = 1.0 \mathrm{~s}\), and acceleration due to gravity \(a = -9.8 \mathrm{~m/s^2}\).

Step 2 ：Use the kinematic equation: \(d = v_0t + 0.5at^2\) to solve for the initial speed \(v_0\).

Step 3 ：Rearrange the equation to solve for \(v_0\): \(v_0 = \frac{d - 0.5at^2}{t}\).

Step 4 ：Substitute the given values: \(v_0 = \frac{8.5 - 0.5(-9.8)(1.0^2)}{1.0}\).

Step 5 ：Calculate the initial speed: \(v_0 = 13.4 \mathrm{~m/s}\).

Step 6 ：\(\boxed{v_0 = 13.4 \mathrm{~m/s}}\)