You measure that it takes 0.75 seconds for a leaf to fall from a tree to the ground. The leaf experiences air resistance as it falls. If there were no air resistance, how long would it take the leaf to fall?

There's not enough information given in the problem to calculate that answer.
A leaf falling from a tree on Earth, a sheet of printer paper falling off the back of a truck on Venus, and a steel ball sinking through a bucket of Scotch whiskey on Mars, might all reach the bottom in 0.75 second. The time it would take each of them to fall the same distance through a vacuum in the same place would be different, and the 0.75 second is not enough to enable you derive it ... even if you did know the acceleration of gravity in each place. All you can say is that without resistance, it would fall faster, and hit bottom in less than 0.75 second.

Answered by AL2006 | 2024-06-10

less than 0.75 seconds ;

Answered by samanthatorres240 | 2024-06-14

The time it would take for a leaf to fall without air resistance cannot be determined exactly without knowing the distance fallen. However, it will be less than the 0.75 seconds measured with air resistance. In free fall on Earth, all objects fall at the same acceleration due to gravity, which is about 9.81 m/s².
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Answered by AL2006 | 2024-11-04