This thing has baffled me for a very long time and therefore I had to ask it here.
I was thinking about accelerated frames. Lets assume I am sitting in an elevator going upward with some acceleration lets say $a$. Now suddenly, a bolt from the ceiling falls down. Now I wanted to know that how would a person sitting in the elevator (which is actually me) feel the acceleration of the bolt. Would he see it to be only $g$ or $g+a$?
Firstly I assumed the existence of a pseudo force and assumed it to be $g+a$. Then again I thought of one more scenario. Lets assume there is a small ball in a lift descending down with an acceleration $a >g$. Now if $a$ is greater than $g$ then applying pseudo force on the block, it must move up ahead (in reference frame of the person sitting in train) and should continue to move ahead as there is a deficit of $2\,\mathrm{m/s^2}$ in the upward and downward motion but based on my common sense I think that the block can't just move up ahead in air and as soon as it leaves the ground, it must fall back with the acceleration $g$. I know I can be truly wrong and that's why want to know what actually happens.