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## Main Question or Discussion Point

We have two identical balls sitting at the same height. One of them is released without applying any force (it falls freely) and the other one is given a non-zero horizontal velocity. Which of them will hit the ground first?

The force of air resistance is proportional to the square of the velocity.

Based on what I've experienced solving typical projectile problems, I am inclined to answer that they will hit the groudn at the same time. Also, I believe that at any given time, the vertical component of the force of air resistance will be equal in both cases.

Am I missing something?

The force of air resistance is proportional to the square of the velocity.

Based on what I've experienced solving typical projectile problems, I am inclined to answer that they will hit the groudn at the same time. Also, I believe that at any given time, the vertical component of the force of air resistance will be equal in both cases.

Am I missing something?