Question

Water drops are falling in regular intervals of time from top of a tower to height 9 m. If `4^(th)` drop begins to fall when `1^(st)` drop reaches the ground, find the positions of `2^(nd) & 3^(rd)` drops from the top of the tower.

Answer 1

`3t = sqrt((2xx 9)/(10)) [t = sqrt((2H)/(g))]`
`t = sqrt((1)/(5))`
Position of `2^(nd)` drop
`rArr S_2 = (1)/(2) xx 10 xx (2sqrt((1)/(5)))^(2) = 4` m
Position of `3^(rd) ` drop
`rArr S_3 = (1)/(2) xx 10 (sqrt ((1)/(5)))^(2) = 1`m