Question

Камень свободно падает с высоты 80м определить время падение

Answer 1

H0=80
h=0
a=g=10м/c^2
h=h0+vot+at^2/2
h=h0+gt^2/2
0=80+5t^2
-80=5t^2
-16=t^2
t=4 секунды

Answer 2

Calculation of Time of Free Fall

To determine the time it takes for a stone to freely fall from a height of 80 meters, we can use the equation of motion for free fall. The equation is:

h = (1/2)gt^2

Where: - h is the height (80 meters in this case) - g is the acceleration due to gravity (approximately 9.8 m/s^2) - t is the time of free fall

To find the time, we rearrange the equation:

t = √(2h/g)

Substituting the given values:

t = √(2 * 80 / 9.8)

Calculating this equation will give us the time it takes for the stone to fall freely from a height of 80 meters.

Calculation:

Using the equation above, we can calculate the time it takes for the stone to fall freely from a height of 80 meters.

t = √(2 * 80 / 9.8)

t ≈ 4.04 seconds

Therefore, it takes approximately 4.04 seconds for the stone to fall freely from a height of 80 meters.

Please note that this calculation assumes no air resistance and that the stone is dropped vertically without any initial velocity.