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Water drops are falling in regular inter...

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.

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To solve the problem of finding the positions of the 2nd and 3rd drops from the top of a 9 m tower, we can follow these steps: ### Step 1: Determine the time taken for the 1st drop to reach the ground. The formula to calculate the time \( T \) taken for an object to fall from a height \( H \) under gravity \( g \) is given by: \[ T = \sqrt{\frac{2H}{g}} \] ...
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Knowledge Check

  • Drops of water fall from the roof of a building 9m. High at regular intervals of time, the first drop reaching the ground at the same instant fourth drop starts to fall. What are the distance of the second and third drops from the roof?

    A
    6 m and 2 m
    B
    6 m and 3 m
    C
    4 m and 1 m
    D
    4 m and 2 m

  • Water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap, the instant the first drop touches the ground. How far above the ground is the second drop at that instant. (g = 10 ms^-2)

    A
    `1.25m`
    B
    `2.50m`
    C
    `3.75m`
    D
    `4.00m`

  • Water drops fall at regular intervals from a roof. At an instant when a drop is about to leave the roof, the separations between 3 successive drops below the roof are in the ratio

    A
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    B
    `1:4:9`
    C
    `1:3:5`
    D
    `1:5:13`

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