An icicle detached from the edge of the roof fell to the ground 2c. What is the height of the building?

The distance traveled by an object in a certain time with a certain acceleration is described by the formula:

S = v0 * t + (a * t ^ 2/2);

Where S is the distance traveled, v0 is the initial speed, t is the time in motion, and a is the acceleration with which the object is moving;

An icicle detached from the roof has an initial velocity:

v0 = 0.

The acceleration of the falling icicle corresponds to the acceleration of gravity:

g ≈ 9.8 m / s2.

And the time in free fall is:

t = 2 s.

The path taken by the icicle corresponds to the height of the building and is equal to:

h = v0 * t + (a * t ^ 2/2) = 0 + (g * t ^ 2/2) = g * t ^ 2/2;

h = 9.8 * 2 ^ 2/2 = 9.8 * 2 = 19.6 m.