Suppose a 10cm diameter 1kg ball is launched directly vertically with an unknown force but takes a known amount of time to return. Can we calculate the height it achieved?
I'm really not very mathematically-minded but I presume we can divide the time taken by 2 to get when the ball was at its zenith? So assuming it took 10 seconds from launch to landing then I presume it had 5 seconds of upward motion and 5 seconds of freefall? Are these presumptions correct? If so, it would seem that all I need to know is: from what height would a 1kg mass have been dropped if it takes 5 seconds to reach the ground?
Ignoring friction / terminal velocity I'm sure this must be a simple equation I just can't get my head around it. Your gentle guidance is appreciated ;)