How to calculate the height of a high-rise building or mountain using stone?/Calculating the height of objects without using instrument.

Let us find the height of a building using stones & a stopwatch as given below.

Let us drop 3nos. of stone from the top of the building & note down the time taken by the stone to hit the ground. Let us use a stopwatch to note down the time in seconds.

Sl. no.	Item	Time taken In sec.	Average time In sec.
1.	Stone-1	5.7	5.7
2.	Stone-2	5.6
3.	Stone-3	5.8

 

Given data:

Average time = t = 5.7 sec.

Acceleration due to gravity = g = 9.81m./sec2

The initial velocity of stone = v = 0 m /sec.

Height of building = h =?

Note: 

Initially, the stone was in the person's hand, so the initial velocity v = 0 m/sec.

By using the 2nd equation of motion,

Height of the building

   h = [(v × t ) + ( 0.5 × g × t2  )]

     =  [(0 × 5.7 sec) + ( 0.5 × 9.81 ×  5.72)]

     = [ 0 + 159.36 ]

    = 159.36 m.

Note:

 1. According to the law of gravity, whatever might be the size of the stone, it takes the same amount of time to hit the ground.

2. Use round-shaped stones without voids in them to minimize air pressure acting over the stone.

3. When you drop a stone, it always falls in a straight line with uniform acceleration.

4. This is an approximate method to calculate the height of the building.

For you 👇

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Thank you for going through this article❤. Have a good day 😄.

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