A brick is dropped from the roof of a tall building.After it has been falling for a few seconds ,it falls $40.0$ meters in a $1.00$-s time interval.What distance will it fall during the next $1.00$ seconds? Ignore air resistance.
I've seen on yahoo answer that the solution provided for second part of the question,namely the distance covered in the second interval of $1.00$ second,can be found just by realizing that the midpoint of this interval occurs $1$ second later the midpoint of the first interval(so this would allow us to calculate instantaneous velocity).
However I am a bit skeptical ,because after the midpoint of the first interval the brick's velocity kept raising in magnitude,so I would think that it hasn't necessarily have to be at the midpoint of the second interval exactly $1$ second later after the first one.
This way I would be assuming that the brick's velocity is constant over that interval,while it isn't.
Another point of confusion is that I can find many intervals of $1$ second where the brick falled a distance of $40$ meters..
Can you guys make this clear ?Am I right or wrong ?If I am right how would I solve the problem ?