Does Speed Increase for Dropped Objects Based on Height?

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Dropping two objects from different heights results in them landing simultaneously if released correctly, as their initial velocities differ. When object A falls 1 meter before object B is released, object A has an initial velocity of 4.4 m/s upon reaching the same height as object B. The discussion confirms that an object's speed increases with height due to gravitational acceleration until reaching terminal velocity. The relationship between final velocity, initial velocity, displacement, and acceleration is highlighted, reinforcing that velocity builds up with increased fall distance. Understanding these principles clarifies the dynamics of falling objects in physics.
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I'm relatively new to physics.

I know that dropping 2 objects, at the distance from the ground, they will land at the same time.

But what would happen if you dropped objectA at 2 meters height, and held objectB at one meter height, and only let go of objectB, when ObjectA has already fallen 1m. Will they fall at the same time?

basically what I am asking is, does the speed of an object build up, the further it falls?
 
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No, because for object B, the initial velocity is 0, and for object A, the initial velocity when it gets to the location of object B is 4.4 m/s.

The relationship between final velocity, initial velocity, displacement, and acceleration is

V_f^2=V_i^2-2ad where a = -9.8 m/s^2

So yes, the velocity builds up the further or longer you fall until you reach terminal velocity.
 
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thanks, that cleared it up.
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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