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You drop a water balloon off a cliff at 800 ft. How long does it take to jit the ground?

User Myx
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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.

User FooBar
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