Does Speed Increase for Dropped Objects Based on Height?

[Learnphysics]

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?

 

[Snazzy]

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.

 

[Learnphysics]

thanks, that cleared it up.