Final answer:
The height of the roof from which the water balloon was dropped is calculated using the formula h = 0.5 * g * t^2. Given that it took 2.4 seconds for the balloon to hit the ground, the height is approximately 28.224 meters.
Step-by-step explanation:
The student is asking about the height of the roof from which a water balloon was dropped and took 2.4 seconds to hit the ground. This is a physics problem involving the equations of motion for freely falling objects with a constant acceleration due to gravity (g = 9.8 m/s2).
To calculate the height (h), we use the formula derived from the equations of motion: h = 0.5 * g * t2, where t is the time taken for the object to hit the ground. Plugging in the values, we get h = 0.5 * 9.8 m/s2 * (2.4 s)2. Performing the calculation, h = 0.5 * 9.8 * 5.76 which gives us h = 28.224 meters. Therefore, the height of the roof from which the water balloon was dropped is approximately 28.224 meters.