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Group Question
Answer the following question based on the information given below.
A ball is dropped from a height h. It falls to the ground and breaks into 3 identical balls. The three balls bounce vertically up to a height half of the previous height, and then hit the ground where each ball again splits up into 3 balls. All the balls again bounce to a height half of that in the previous bounce. The same process continues. In all the collisions the volume of the balls is conserved.
 
Q. If h = 10 m, what is the total vertical distance covered by all the balls before the 10th bounce (approximately)? 
  • a)
    4522 m
  • b)
    2865 m
  • c)
    2875 m
  • d)
    2257 m
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
The original ball falls from a height h and after 1st bounce, splits into 3 identical balls.
Before 1st bounce, the ball travels height h.
After 1st bounce, each ball travels a distance h/2 up and down each.
Total distance travelled by 3 balls = 3 * 2 x h/2 = 3h
After 2nd bounce, there are 9 balls each of which travels a distance h/4 up and down each.
Total distance travelled by 9 balls = 9 x 2 x h/4 = (9h)/2
Similarly, after the 9th bounce, there are 39 balls.
Total distance travelled by 39 balls = 39 * h/28
The total distance d travelled by all the balls before the 10th bounce is given by,

If the first term (h)is kept aside the rest of the terms form a geometric progression with common ratio of 3/2


Putting value of h = 10 m, we get,
Total distance = 10 + 287565/128 = 288845/128 2257 m
Hence, option 4.
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Group QuestionAnswer the following question based on the information given below.A ball is dropped from a height h. It falls to the ground and breaks into 3 identical balls. The three balls bounce vertically up to a height half of the previous height, and then hit the ground where each ball again splits up into 3 balls. All the balls again bounce to a height half of that in the previous bounce. The same process continues. In all the collisions the volume of the balls is conserved.Q.If h = 10 m, what is the total vertical distance covered by all the balls before the 10th bounce (approximately)?a)4522 mb)2865 mc)2875 md)2257 mCorrect answer is option 'D'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information given below.A ball is dropped from a height h. It falls to the ground and breaks into 3 identical balls. The three balls bounce vertically up to a height half of the previous height, and then hit the ground where each ball again splits up into 3 balls. All the balls again bounce to a height half of that in the previous bounce. The same process continues. In all the collisions the volume of the balls is conserved.Q.If h = 10 m, what is the total vertical distance covered by all the balls before the 10th bounce (approximately)?a)4522 mb)2865 mc)2875 md)2257 mCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Group QuestionAnswer the following question based on the information given below.A ball is dropped from a height h. It falls to the ground and breaks into 3 identical balls. The three balls bounce vertically up to a height half of the previous height, and then hit the ground where each ball again splits up into 3 balls. All the balls again bounce to a height half of that in the previous bounce. The same process continues. In all the collisions the volume of the balls is conserved.Q.If h = 10 m, what is the total vertical distance covered by all the balls before the 10th bounce (approximately)?a)4522 mb)2865 mc)2875 md)2257 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.A ball is dropped from a height h. It falls to the ground and breaks into 3 identical balls. The three balls bounce vertically up to a height half of the previous height, and then hit the ground where each ball again splits up into 3 balls. All the balls again bounce to a height half of that in the previous bounce. The same process continues. In all the collisions the volume of the balls is conserved.Q.If h = 10 m, what is the total vertical distance covered by all the balls before the 10th bounce (approximately)?a)4522 mb)2865 mc)2875 md)2257 mCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Group QuestionAnswer the following question based on the information given below.A ball is dropped from a height h. It falls to the ground and breaks into 3 identical balls. The three balls bounce vertically up to a height half of the previous height, and then hit the ground where each ball again splits up into 3 balls. All the balls again bounce to a height half of that in the previous bounce. The same process continues. In all the collisions the volume of the balls is conserved.Q.If h = 10 m, what is the total vertical distance covered by all the balls before the 10th bounce (approximately)?a)4522 mb)2865 mc)2875 md)2257 mCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Group QuestionAnswer the following question based on the information given below.A ball is dropped from a height h. It falls to the ground and breaks into 3 identical balls. The three balls bounce vertically up to a height half of the previous height, and then hit the ground where each ball again splits up into 3 balls. All the balls again bounce to a height half of that in the previous bounce. The same process continues. In all the collisions the volume of the balls is conserved.Q.If h = 10 m, what is the total vertical distance covered by all the balls before the 10th bounce (approximately)?a)4522 mb)2865 mc)2875 md)2257 mCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Group QuestionAnswer the following question based on the information given below.A ball is dropped from a height h. It falls to the ground and breaks into 3 identical balls. The three balls bounce vertically up to a height half of the previous height, and then hit the ground where each ball again splits up into 3 balls. All the balls again bounce to a height half of that in the previous bounce. The same process continues. In all the collisions the volume of the balls is conserved.Q.If h = 10 m, what is the total vertical distance covered by all the balls before the 10th bounce (approximately)?a)4522 mb)2865 mc)2875 md)2257 mCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.A ball is dropped from a height h. It falls to the ground and breaks into 3 identical balls. The three balls bounce vertically up to a height half of the previous height, and then hit the ground where each ball again splits up into 3 balls. All the balls again bounce to a height half of that in the previous bounce. The same process continues. In all the collisions the volume of the balls is conserved.Q.If h = 10 m, what is the total vertical distance covered by all the balls before the 10th bounce (approximately)?a)4522 mb)2865 mc)2875 md)2257 mCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.A ball is dropped from a height h. It falls to the ground and breaks into 3 identical balls. The three balls bounce vertically up to a height half of the previous height, and then hit the ground where each ball again splits up into 3 balls. All the balls again bounce to a height half of that in the previous bounce. The same process continues. In all the collisions the volume of the balls is conserved.Q.If h = 10 m, what is the total vertical distance covered by all the balls before the 10th bounce (approximately)?a)4522 mb)2865 mc)2875 md)2257 mCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Group QuestionAnswer the following question based on the information given below.A ball is dropped from a height h. It falls to the ground and breaks into 3 identical balls. The three balls bounce vertically up to a height half of the previous height, and then hit the ground where each ball again splits up into 3 balls. All the balls again bounce to a height half of that in the previous bounce. The same process continues. In all the collisions the volume of the balls is conserved.Q.If h = 10 m, what is the total vertical distance covered by all the balls before the 10th bounce (approximately)?a)4522 mb)2865 mc)2875 md)2257 mCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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