A stone is dropped from the top of a building. When it crosses a point below the top, another stone starts to fall from a point below the top, both stones reach the bottom of building simultaneously. The height of the building is:
Step 1: Given data assumptions.
Height covered by the first stone
Height covered by the second stone
Acceleration due to gravity,
Step 2: Finding The height of the building.
Formula Used:
Where, is distance, initial velocity, and is time
Since,
The velocity of the first stone at below top,
Now,
Apply a formula for the first stone which is shown in the figure we get,
…..
Apply a formula for the second stone which is shown in the figure we get,
…..
Substitute equation in we get.
….
Now, again substitute equation in equation we get.
Hence, the height of the building from the drawn figure
Therefore, option A is correct.