The height of the Ostankino TV tower is 532 m. A brick was dropped from its highest point.

The height of the Ostankino TV tower is 532 m. A brick was dropped from its highest point. How long does it take for it to fall to the ground? Disregard air resistance.

h = 532 m.

g = 10 m / s2.

V0 = 0 m / s.

V -?

Only gravity acts on the brick, so it will move with the acceleration of gravity g.

We express the speed of the brick at the moment of impact on the ground V from the definition for acceleration: g = (V – V0) / t.

V = V0 + g * t.

The height of the fall of the brick h is expressed by the formula: h = V0 * t + g * t ^ 2/2.

Since the brick falls V0 = 0 m / s, the formulas will take the form: h = g * t ^ 2/2, V = g * t.

t = √ (2 * h / g).

V = g * √ (2 * h / g).

V = 10 m / s2 * √ (2 * 532 m / 10 m / s2) = 103 m / s.

Answer: at the moment of hitting the ground, the brick has a speed of V = 103 m / s.