Drops of water fall at regular intervals from the roof of a building of height 16 m. The first drop strikes the ground at the same moment as the fifth drop leaves the roof. Find the distances between successive drops.

Explanation

H = 16 m
Time taken by the first drop to touch the ground `t=sqrt((2h)/g)=sqrt((2 times 16)/(9.8)=sqrt(3.26))`
`" "`sec = 1.8 sec
Time interval between each drop `=t/(n-1)`
Where n = no. of drops
`" "=(1.8)/(5-1)=(1.8)/4=0.45 sec`

For second drop `h^(2)=1/2gt^(2)`
`" "=1/2 times 9.8 times 1.35 times 1.35=8.93 m`
`d_(12)=16-8.93 =7.06=7m`
For `3^(rd)` drop `h_(3)=1/2 times 9.8 times 0.90 times 0.90`
`" "=3.97`
`d_(23)=8.93-3.97=4.961=5m`
For `4^(th)` drop `h_(4)=1/2 times 9.8 times 0.45 times 0.45`
`" "=0.9922`
`d_(34)=3.97-0.9922`
`d_(34)=2.9778=3m`
Similarly for `d_(45)=0.9922-0=0.9922=1m`