A ball is dropped from the top of the 9th storey building reaches the ground in 3 sec .find the height of the building

d=1/2 g t^2

d=1/2 *(9.8)*9

To find the height of the building, we can use the formula for calculating the distance an object falls due to gravity:

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

Where:
h = height of the building
g = acceleration due to gravity (approximately 9.8 m/s^2)
t = time taken to reach the ground (3 seconds in this case)

Substituting the given values into the formula, we can calculate the height of the building:

h = (1/2) * 9.8 m/s^2 * (3 sec)^2
h = (1/2) * 9.8 m/s^2 * 9 sec^2
h = 4.9 m/s^2 * 9 sec^2
h = 44.1 meters

Therefore, the height of the building is approximately 44.1 meters.