Class 11 Exam > Class 11 Questions > A stone falling from the top of a vertical t...
Start Learning for Free
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
Most Upvoted Answer
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
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
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
Question Description
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.
Solutions 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 in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of 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 defined & explained in the simplest way possible. Besides giving the explanation of
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 detailed solution 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 has been provided alongside types of 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 theory, EduRev gives you an
ample number of questions to practice 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 tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup