Final answer:
It takes approximately 7.05 seconds for a water balloon dropped from a height of 800 feet to hit the ground, assuming no air resistance and using the physics of free fall motion.
Step-by-step explanation:
To determine how long it takes for a water balloon to hit the ground after being dropped from a height of 800 ft, we can use the physics of free fall motion. The key equation we use is:
distance = (1/2) × gravity × time^2
In this equation, the distance is 800 ft (which we need to convert to meters), gravity is 9.8 m/s^2 (acceleration due to gravity), and time is what we want to find.
First, we convert 800 feet into meters:
Next, we rearrange the equation to solve for time:
time = √(2 × distance / gravity)
Plugging in the numbers:
time = √(2 × 243.84 m / 9.8 m/s^2)
time = √(49.7661224 s^2)
time ≈ 7.05 s
So, it takes approximately 7.05 seconds for the water balloon to hit the ground.