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When a rock is dropped on Earth, the time in seconds it takes the rock to fall d meters is modeled by √0.45d. When a rock is dropped on the moon, the time in seconds it takes the rock to fall d meters is modeled by √1.11d. Does it take more time on Earth or on the moon for a rock to fall 50 meters? Show your work.

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Answer:

It takes more time on moon for the rock to fall.

Step-by-step explanation:

Given that:

Time it takes for rock to fall d meters on earth = √0.45d

Time it takes for rock to fall d meters on moon = √1.11d

For a rock to fall 50 meters:

On earth :

Time = √0.45*50 = 4.7434164 seconds

On moon :

Time = √1.11*50 = 7.4498322 seconds

Time on moon > Time on earth

Hence, It takes more time on moon for the rock to fall.

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