A hammer is released from the top of building 180mtall . calculate the time it takes to reach the ground

1 answer

To calculate the time it takes for the hammer to reach the ground, we can use the equation of motion:

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

where:
h = height of the building = 180m
g = acceleration due to gravity = 9.8m/s^2
t = time taken to reach the ground (unknown)

Rearranging the equation, we get:

t^2 = (2 * h) / g

Plugging in the given values:

t^2 = (2 * 180) / 9.8
t^2 = 36.73
t ≈ √36.73
t ≈ 6.06 seconds

Therefore, it takes approximately 6.06 seconds for the hammer to reach the ground.