To determine the time it takes for an object to reach the ground when dropped from a height of 144 feet, we can use the equation for the time it takes for an object to fall freely under gravity:
t = sqrt(2h/g)
Where:
t = time in seconds
h = height in feet
g = acceleration due to gravity (approximately 32.2 ft/s^2)
Plugging in the values, we have:
t = sqrt(2 * 144 / 32.2)
t = sqrt(288 / 32.2)
t = sqrt(8.94409938)
t ≈ 2.99 seconds
Therefore, it takes approximately 2.99 seconds for the object to reach the ground when dropped from a height of 144 feet. (hope it helps)