UPSC Exam > UPSC Questions > Juggler throws balls vertically upwards with ...
Start Learning for Free
Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is?
Most Upvoted Answer
Juggler throws balls vertically upwards with same initial velocity in ...
Understanding the Juggling Scenario
In this scenario, the juggler throws balls vertically upwards with the same initial velocity, accomplishing a rhythmic juggling act. The behavior of the balls can be analyzed through the principles of projectile motion.
Initial Conditions
- The juggler throws n balls per second.
- Each ball is thrown with the same initial velocity, v.
Time to Reach Maximum Height
- The time (t) taken for each ball to reach its maximum height can be calculated using the formula:
t = v/g, where g is the acceleration due to gravity (approximately 9.81 m/s²).
- At the maximum height, the velocity of the ball becomes zero.
Height Reached by Each Ball
- The maximum height (H) reached by each ball can be determined using the formula:
H = v²/(2g).
- This height remains constant for all balls since they are thrown with the same initial velocity.
Juggling Pattern
- The juggler throws the next ball when the first ball reaches its highest point.
- Therefore, with n balls thrown per second, there will be n balls in the air at any given time.
Maximum Height Calculation
- Since each ball reaches the same maximum height, the maximum height that any ball can reach remains H.
- The juggler maintains a continuous cycle, ensuring that at any point, one ball is at its peak while others are in various stages of ascent and descent.
Conclusion
- The maximum height the balls can reach, regardless of the juggling pattern, is given by H = v²/(2g), where v is the initial velocity and g is the acceleration due to gravity.
This juggling technique effectively utilizes the principles of physics, allowing for an impressive display of skill and timing.
In this scenario, the juggler throws balls vertically upwards with the same initial velocity, accomplishing a rhythmic juggling act. The behavior of the balls can be analyzed through the principles of projectile motion.
Initial Conditions
- The juggler throws n balls per second.
- Each ball is thrown with the same initial velocity, v.
Time to Reach Maximum Height
- The time (t) taken for each ball to reach its maximum height can be calculated using the formula:
t = v/g, where g is the acceleration due to gravity (approximately 9.81 m/s²).
- At the maximum height, the velocity of the ball becomes zero.
Height Reached by Each Ball
- The maximum height (H) reached by each ball can be determined using the formula:
H = v²/(2g).
- This height remains constant for all balls since they are thrown with the same initial velocity.
Juggling Pattern
- The juggler throws the next ball when the first ball reaches its highest point.
- Therefore, with n balls thrown per second, there will be n balls in the air at any given time.
Maximum Height Calculation
- Since each ball reaches the same maximum height, the maximum height that any ball can reach remains H.
- The juggler maintains a continuous cycle, ensuring that at any point, one ball is at its peak while others are in various stages of ascent and descent.
Conclusion
- The maximum height the balls can reach, regardless of the juggling pattern, is given by H = v²/(2g), where v is the initial velocity and g is the acceleration due to gravity.
This juggling technique effectively utilizes the principles of physics, allowing for an impressive display of skill and timing.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is?
Question Description
Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is?.
Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is?.
Solutions for Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is? defined & explained in the simplest way possible. Besides giving the explanation of
Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is?, a detailed solution for Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is? has been provided alongside types of Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is? theory, EduRev gives you an
ample number of questions to practice Juggler throws balls vertically upwards with same initial velocity in air When the first ball reaches its highest position, he throws the next ball Assuming the juggler throws n balls per second, the maximum height the balls can reach is? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup