A plant falls from the windowsill of an apartment in a very tall building. If the floor of your apartment is 12.19 m above the ground, and it takes the plant 0.2580 seconds to cross your 9 ft window, from what height did the plant fall?

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Explain what would be different if the plant fell from the same height at an apartment complex on Venus.

To find the height from which the plant fell, we can use the formula for uniform acceleration in physics:

s = ut + (1/2)at^2

where
s = distance (height in this case),
u = initial velocity (which is zero because the plant falls from rest),
a = acceleration (due to gravity, which is approximately 9.8 m/s^2 on Earth),
t = time taken (0.2580 seconds in this case).

We know that the distance the plant falls is equal to the difference in heights of the two floors, which is 12.19 m. Let's substitute the known values into the formula and solve for "s":

12.19 = 0 + (1/2) * 9.8 * (0.2580)^2

Now we can solve for the unknown height:

12.19 = 1.260324

Therefore, the plant fell from a height of approximately 12.19 meters.

If the plant fell from the same height at an apartment complex on Venus, there would be some differences due to the different conditions on Venus compared to Earth. The main difference is the acceleration due to gravity. On Venus, the acceleration due to gravity is about 8.87 m/s^2, which is slightly lower than Earth's gravity. So, if the same plant fell from the same height on Venus, it would take longer to reach the ground compared to Earth, and the distance it would cover during that time would also be different. To find the height from which the plant fell on Venus, you would need to use the formula mentioned above with the appropriate acceleration due to gravity value for Venus.