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A boy sitting on a roof of height 72m from the ground drop stones at regular intervals of time . It was observed that 4th stone is about to be dropped when 1st stone has just reached the ground . Find the height of 2nd and 3rd stone at the instant respectively?
Most Upvoted Answer
A boy sitting on a roof of height 72m from the ground drop stones at r...
Analysis of the Situation:
The scenario described involves a boy dropping stones from a roof at regular intervals. The height of the roof is given as 72m, and it is mentioned that the 4th stone is about to be dropped when the 1st stone has just reached the ground. We need to find the heights of the 2nd and 3rd stones at that moment.
Calculating the Time Interval:
Since the stones are being dropped at regular intervals, the time taken for each stone to reach the ground is the same. Let's assume this time interval as 't' seconds.
When the 4th stone is about to be dropped, the 1st stone has just reached the ground. This means that the 1st stone took 3t seconds to reach the ground.
Using the Kinematic Equation:
We can use the kinematic equation of motion to calculate the height of the 2nd and 3rd stones at that moment. The equation for the height of an object in free fall is given by:
h = h0 - (1/2)gt^2
Where:
- h is the final height
- h0 is the initial height
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
Calculating the Heights:
For the 2nd stone:
- Initial height (h0) = 72m
- Time taken (t) = 2t seconds (since it was dropped after the 1st stone)
- Using the kinematic equation, we can calculate the height of the 2nd stone at that moment.
For the 3rd stone:
- Initial height (h0) = 72m
- Time taken (t) = t seconds (since it was dropped after the 2nd stone)
- Using the kinematic equation, we can calculate the height of the 3rd stone at that moment.
By applying these calculations, we can determine the heights of the 2nd and 3rd stones when the 4th stone is about to be dropped.
The scenario described involves a boy dropping stones from a roof at regular intervals. The height of the roof is given as 72m, and it is mentioned that the 4th stone is about to be dropped when the 1st stone has just reached the ground. We need to find the heights of the 2nd and 3rd stones at that moment.
Calculating the Time Interval:
Since the stones are being dropped at regular intervals, the time taken for each stone to reach the ground is the same. Let's assume this time interval as 't' seconds.
When the 4th stone is about to be dropped, the 1st stone has just reached the ground. This means that the 1st stone took 3t seconds to reach the ground.
Using the Kinematic Equation:
We can use the kinematic equation of motion to calculate the height of the 2nd and 3rd stones at that moment. The equation for the height of an object in free fall is given by:
h = h0 - (1/2)gt^2
Where:
- h is the final height
- h0 is the initial height
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
Calculating the Heights:
For the 2nd stone:
- Initial height (h0) = 72m
- Time taken (t) = 2t seconds (since it was dropped after the 1st stone)
- Using the kinematic equation, we can calculate the height of the 2nd stone at that moment.
For the 3rd stone:
- Initial height (h0) = 72m
- Time taken (t) = t seconds (since it was dropped after the 2nd stone)
- Using the kinematic equation, we can calculate the height of the 3rd stone at that moment.
By applying these calculations, we can determine the heights of the 2nd and 3rd stones when the 4th stone is about to be dropped.
Community Answer
A boy sitting on a roof of height 72m from the ground drop stones at r...
2nd ball height= 40.25m 3rd ball height= 64.06 m
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A boy sitting on a roof of height 72m from the ground drop stones at regular intervals of time . It was observed that 4th stone is about to be dropped when 1st stone has just reached the ground . Find the height of 2nd and 3rd stone at the instant respectively?
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A boy sitting on a roof of height 72m from the ground drop stones at regular intervals of time . It was observed that 4th stone is about to be dropped when 1st stone has just reached the ground . Find the height of 2nd and 3rd stone at the instant respectively? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A boy sitting on a roof of height 72m from the ground drop stones at regular intervals of time . It was observed that 4th stone is about to be dropped when 1st stone has just reached the ground . Find the height of 2nd and 3rd stone at the instant respectively? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy sitting on a roof of height 72m from the ground drop stones at regular intervals of time . It was observed that 4th stone is about to be dropped when 1st stone has just reached the ground . Find the height of 2nd and 3rd stone at the instant respectively?.
A boy sitting on a roof of height 72m from the ground drop stones at regular intervals of time . It was observed that 4th stone is about to be dropped when 1st stone has just reached the ground . Find the height of 2nd and 3rd stone at the instant respectively? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A boy sitting on a roof of height 72m from the ground drop stones at regular intervals of time . It was observed that 4th stone is about to be dropped when 1st stone has just reached the ground . Find the height of 2nd and 3rd stone at the instant respectively? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy sitting on a roof of height 72m from the ground drop stones at regular intervals of time . It was observed that 4th stone is about to be dropped when 1st stone has just reached the ground . Find the height of 2nd and 3rd stone at the instant respectively?.
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