The object falls freely from a height of 490 m. Determine the time of the fall and its speed at the moment

The object falls freely from a height of 490 m. Determine the time of the fall and its speed at the moment of falling to the ground.

Initial data: H (body fall height) = 490 m; the object falls freely (V0 = 0 m / s).

Reference data: g (acceleration due to gravity) = 9.8 m / s ^ 2 = a.

1) Determine the falling time of the object:

H = V0 * t + a * t ^ 2/2 = g * t ^ 2/2; t ^ 2 = 2H / g.

t = √ (2H / g) = √ (2 * 490 / 9.8) = √100 = 10 s.

2) Determine the speed of the object at the moment of falling to the ground:

V = V0 + a * t = g * t = 9.8 * 10 = 98 m / s.

Answer: The object will fall to the ground in 10 s at a speed of 98 m / s.