To calculate the time it takes for the rock to hit the ground, we can use the equation of motion for free-falling objects:
h = (1/2) * g * t^2
Where: h is the height of the building (122.5 m) g is the acceleration due to gravity (approximately 9.8 m/s^2) t is the time it takes for the rock to hit the ground (unknown)
To solve for t, we rearrange the equation as follows:
t^2 = (2 * h) / g
t = sqrt((2 * h) / g)
Let's calculate the value of t using this formula:
t = sqrt((2 * 122.5) / 9.8) t = sqrt(245 / 9.8) t = sqrt(25) t = 5 seconds
Therefore, the rock will hit the ground in approximately 5 seconds.