The height of the edge of the roof is
or
.
Further explanation:
When drops fall from the edge of a roof at a steady rate, the rate of flow does not change with time. Each drops take same time to fall from the edge. If a drop is at the verge of fall, surface tension will balance the weight of the drop.
When surface tension reaches to its extreme value and weight of the drop exceeds the maximum value of surface tension, water drop will fall from the edge of a roof.
Given:
The height of the window is
.
Concept:
Let the rate at which drops fall from the edge of a roof is 1 drop per
.
The rate 1 drop per
indicates that after every
one drop falls from the edge of a roof.
The time taken by first drop to reach ground is 4t.
Time taken by second drop to reach at the bottom of the window is 3t.
Time taken by third drop to reach at the top of the window is 2t.
During the whole time when drop is in air, it is subjected to a gravitational pull. So, the acceleration of each drop will be
in downward direction.
The second equation of motion is:
For free fall.
Negative sign is taken for h as drop travels in the negative direction of y axis.
…… (1)
For second drop.
For third drop.

The difference of
and
will be the length of the window
.

Substitute the values.

Simplify the above expression for
.
For first drop.
will be the height of the roof from ground.
Thus, the height of the edge of the roof is
or
.
Learn More:
1. The motion of a body under friction brainly.com/question/4033012
2. A ball falling under the acceleration due to gravity brainly.com/question/10934170
3. Conservation of energy brainly.com/question/3943029
Answer Details:
Grade: High School
Subject: Physics
Chapter: Kinematics
Keywords:
Water, drops, edge, roof, steady rate, fifth, starts, fall, just, hits, ground, instant, second, third, fourth, exactly, bottom, top, 1.00 m, tall, 100 cm, 1.00 meter, 1 meter, height, window, 3.57 m, 3.57 meter, 357 cm.