Question
A hammer is released from the top of building 180mtall . calculate the time it takes to reach the ground
Answers
GPT 3.5
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.
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.