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A student drops a water balloon out of a dorm window 20 m above the ground. What is its speed when it hits the ground

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To determine the speed of the water balloon when it hits the ground, we can use the principles of kinematics and the equation for free-fall motion.

Assuming no air resistance, the acceleration due to gravity is approximately 9.8 m/s². We can use this value to calculate the speed of the water balloon.

The equation for the final velocity (v) in free-fall motion is given by:

v = √(2gh)

where:

v is the final velocity,

g is the acceleration due to gravity (9.8 m/s²),

h is the height from which the object is dropped.

Given that the height (h) is 20 m, we can substitute these values into the equation:

v = √(2 * 9.8 m/s² * 20 m)

v = √(392 m²/s²)

v ≈ 19.8 m/s

Therefore, the speed of the water balloon when it hits the ground is approximately 19.8 m/s.

User Dinesh Prajapati
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