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you drop a rock off the top of a building . how tall is the building if it hits the ground 3.5 seconds later

User Shenee
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1 Answer

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The building is approximately 57.1 meters tall.

The height of the building can be determined using the equations of motion for free-falling objects. When an object is dropped from a certain height, its position can be described by the equation h= 1/2gt^2, where h is the height, g is the acceleration due to gravity (approximately 9.8 m/s²), and t is the time of fall.

Given that the rock hits the ground 3.5 seconds later, substituting t=3.5 seconds into the equation gives h= 1/2×9.8×(3.5)^2. Solving this expression yields a building height of approximately 57.1 meters. Therefore, the building is approximately 57.1 meters tall based on the time it takes for the rock to fall and hit the ground.

User Swetank Poddar
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