Answer: Option A: 22.5 m
Explanation:
A stone is dropped from a tower. The initial velocity of the stone, u = 0.
Height of the tower, y = 100 m
Let the depth of the well be d.
Time taken of the drop of the stone, t = 5 s
The stone falls under acceleration due to gravity g = 9.81 m/s²
We will use second equation of motion:
s = u t + 0.5 g t²
⇒100 m + d = 0 + 0.5 × 9.81 m/s²× (5.00 s)²
⇒d = (122.6 - 100) m = 22.6 m ≅ 22.5 m
Thus, the correct option is A. The depth of the well is 22.5 m.
