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A stone falling from the top of a vertical tower has decended x metre when another stone is dropped from a point y metre below the top. if they fall from rest and reach the ground together show that height of tower is (x+y)^2/4x metre. plz... ans. fast
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A stone falling from the top of a vertical tower has decended x metre...
Explanation:
Given:
- The first stone falls x meters from the top of the tower.
- The second stone is dropped from a point y meters below the top.
- Both stones reach the ground together.
Let's assume:
- The height of the tower is h meters.
Calculating time taken for each stone to reach the ground:
- Time taken for the first stone to reach the ground = sqrt(2x/g) (where g is the acceleration due to gravity)
- Time taken for the second stone to reach the ground = sqrt(2(h-y)/g)
Since both stones reach the ground together:
- sqrt(2x/g) = sqrt(2(h-y)/g)
- 2x = 2(h-y)
- x = h-y
Substitute x = h-y into the height of the tower equation:
- h = x + y
- h = (x+y)
Calculate the height of the tower using the formula (x+y)^2/4x:
- h = (x+y)^2 / 4x
Therefore, the height of the tower is (x+y)^2/4x meters.
Given:
- The first stone falls x meters from the top of the tower.
- The second stone is dropped from a point y meters below the top.
- Both stones reach the ground together.
Let's assume:
- The height of the tower is h meters.
Calculating time taken for each stone to reach the ground:
- Time taken for the first stone to reach the ground = sqrt(2x/g) (where g is the acceleration due to gravity)
- Time taken for the second stone to reach the ground = sqrt(2(h-y)/g)
Since both stones reach the ground together:
- sqrt(2x/g) = sqrt(2(h-y)/g)
- 2x = 2(h-y)
- x = h-y
Substitute x = h-y into the height of the tower equation:
- h = x + y
- h = (x+y)
Calculate the height of the tower using the formula (x+y)^2/4x:
- h = (x+y)^2 / 4x
Therefore, the height of the tower is (x+y)^2/4x meters.
Community Answer
A stone falling from the top of a vertical tower has decended x metre...
i have a doubt in this question anyone pls answer it
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A stone falling from the top of a vertical tower has decended x metre when another stone is dropped from a point y metre below the top. if they fall from rest and reach the ground together show that height of tower is (x+y)^2/4x metre. plz... ans. fast
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A stone falling from the top of a vertical tower has decended x metre when another stone is dropped from a point y metre below the top. if they fall from rest and reach the ground together show that height of tower is (x+y)^2/4x metre. plz... ans. fast for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A stone falling from the top of a vertical tower has decended x metre when another stone is dropped from a point y metre below the top. if they fall from rest and reach the ground together show that height of tower is (x+y)^2/4x metre. plz... ans. fast covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone falling from the top of a vertical tower has decended x metre when another stone is dropped from a point y metre below the top. if they fall from rest and reach the ground together show that height of tower is (x+y)^2/4x metre. plz... ans. fast.
A stone falling from the top of a vertical tower has decended x metre when another stone is dropped from a point y metre below the top. if they fall from rest and reach the ground together show that height of tower is (x+y)^2/4x metre. plz... ans. fast for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A stone falling from the top of a vertical tower has decended x metre when another stone is dropped from a point y metre below the top. if they fall from rest and reach the ground together show that height of tower is (x+y)^2/4x metre. plz... ans. fast covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone falling from the top of a vertical tower has decended x metre when another stone is dropped from a point y metre below the top. if they fall from rest and reach the ground together show that height of tower is (x+y)^2/4x metre. plz... ans. fast.
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