an object is dropped from the window of an apartment in a high rise building reaches the ground in 3 seconds. on which floor the apartment is located if height of each floor is 4m and window is 1 meter above the ground of that floor?

h = Vo*t + 0.5g*t^2

h = 0 + 5*3^2 = 45 m. = Height of object above gnd.

(45-1)/4m = 11th floor.

To find the floor on which the apartment is located, we need to calculate the total distance the object traveled from the window to the ground.

Let's break down the steps:

1. Calculate the distance covered in 3 seconds:
The distance covered by an object in free fall can be calculated using the equation: d = 0.5 * g * t^2
Where:
- d is the distance
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
- t is the time (3 seconds in this case)

Plugging in the values, we get:
d = 0.5 * 9.8 * (3^2)
d = 0.5 * 9.8 * 9
d = 49 * 9
d = 441 meters

2. Calculate the number of floors the object traveled through:
Since each floor has a height of 4 meters and the window is situated 1 meter above the ground of that floor, the height of the window from the ground is 5 meters (4m + 1m).

Divide the total distance covered by the height of each floor to get the number of floors traveled:
Number of floors = d / 5
Number of floors = 441 / 5
Number of floors = 88.2

Since we can't have a fraction of a floor, we round down to the nearest whole number.

3. Add 1 to the number of floors to account for the ground floor:
The apartment is located on the floor:
Floor = Number of floors + 1
Floor = 88 + 1
Floor = 89

Therefore, the apartment is located on the 89th floor.

To determine on which floor the apartment is located, we need to calculate the total distance the object has fallen and divide it by the height of each floor.

First, let's calculate the distance the object has fallen. Since we know that the object takes 3 seconds to reach the ground, we can use the equation of motion:

d = (1/2) * g * t^2

Where:
d = distance fallen
g = acceleration due to gravity (approximately 9.8 m/s^2)
t = time taken (3 seconds)

Plugging in the values, we get:

d = (1/2) * 9.8 * 3^2
d = 44.1 meters

Next, we need to account for the height of the window above the ground, which is 1 meter. So, the total distance fallen from the apartment is:

total distance = distance fallen + height of the window
total distance = 44.1 + 1
total distance = 45.1 meters

Now, let's calculate the number of floors:

number of floors = total distance / height of each floor
number of floors = 45.1 / 4
number of floors ≈ 11.28

However, since we can only have whole floors in a building, we need to round up to the nearest whole number. Therefore, the apartment is located on the 12th floor.