Drop of water fall at regular intervals from roof of a building of height (H=16 m), the first drop striking the ground at the same moment as the fifth drop falls from the roof. The distances between separate drops in air as the first drop reaches the ground are.

Explanation

H=16m, time taken by the first drop to touch the ground t=`sqrt((2h)/(g))`
`=sqrt(2xx16)/(9.8)=sqrt(3.26)` sec =1.8 sec
For second drop `h_(2)=(1)/(2),"gt"^(2)=(1)/(2)xx9.8xx1.35xx1.35=8.93cm`
`d_(12)`=16-8.93=7.06=7m
For `3^(rd)` drop `h_(3)=(1)/(2)xx9.8xx0.90xx0.90=3.97`
`d_(23)=8.93-3.97=4.961=5m`
For `4^(th)` drop,`h_(4)=(1)/(2)xx9.8xx0.45xx0.45=0.9922`
`d_(34)=3.97-0.9922=2.9778=3m`
Similarly for `d_(45)=0.9922-0=0.99221m.`