A faucet leaks at the rate of four drops each second.If air resistance is neglected, determine the vertical separation between two consecutive drops after the lower one has fallen 20m
If the lower drop has fallen 20m, its time to fall is
T = sqrt (2H/g)
where H = 20 m and g = 9.8 m/s^2
Calculate that time and then calculate how far the next drop has fallen at that time, which is
H' = (1/2)g(T - 0.25)^2
since it started to fall 0.25 seconds later than the lower drop.
The vertical drop separation at that time is H - H'