Two bodies begin to fall freely from the same height. The second body begins to fall 'tau' s after the first. After what time from the beginning of first body does the distance between the bodies equal to l?

Two bodies begin to fall freely from the same height. The second body

1.	Two bodies begin to fall freely from the same height. The second body begins to fall 'tau' s after the first. After what time from the beginning of first body does the distance between the bodies equal to l?
Answer» Solution :LET the time of fall of the 1st body be t SECONDS. Time of fall of second body = `t=tau`. Distance of FREE fall of the bodies in the above time intervals respectively are `H_(1)=(g t^(2))/(2),H_(2)=(g(t-tau)^(2))/(2)` THEREFORE `L=H_(1)-H_(2)=g t tau-(1)/(2)g tau^(2)` `therefore t=(l)/(g tau)+(tau)/(2)`