Answer:
The height of the roof is 534.8 feet.
Step-by-step explanation:
Let h be the height of the roof.
We know the formula
\(v^2-u^2=2gh\)
Since, the stone is dropped from the edge of the roof hence, the initial velocity should be zero. Thus, u = 0
\(v^2-0=2gh\\h=\frac{v^2}{2g}\)
Now, we have
v = -185 feet per second
g = 32 feet per square second
On substituting these values, we get
\(h=\frac{(-185)^2}{2\times 32}\\\\h=534.8\)
The height of the roof is 534.8 feet.
