UPSC Exam > UPSC Questions > A stone falls under gravity and covers h1 dis...
Start Learning for Free
A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2?
Most Upvoted Answer
A stone falls under gravity and covers h1 distance from time t=2 to 4 ...
Relation between h1 and h2 in a Falling Stone Scenario
Given Information:
- The stone falls under gravity and covers h1 distance from time t=2 to 4 sec.
- The stone covers h2 distance from t=6 to 8 sec.
Analysis:
- The distance covered by a falling object under gravity can be calculated using the formula:
\[ h = \frac{1}{2} g t^2 \]
where h is the distance covered, g is the acceleration due to gravity, and t is the time.
- We know that the acceleration due to gravity is constant (approximately 9.81 m/s^2).
Finding the Relation between h1 and h2:
- Let's calculate the distances covered by the stone during the time intervals given:
- For time interval from t=2 to 4 sec:
\[ h1 = \frac{1}{2} \times 9.81 \times (4^2 - 2^2) \]
\[ h1 = 9.81 \times 12 = 117.72 \text{ m} \]
- For time interval from t=6 to 8 sec:
\[ h2 = \frac{1}{2} \times 9.81 \times (8^2 - 6^2) \]
\[ h2 = 9.81 \times 8 = 78.48 \text{ m} \]
- Therefore, the relation between h1 and h2 can be expressed as:
\[ h1 = \frac{3}{2} \times h2 \]
Conclusion:
- We have determined that the distance covered by the stone during the time intervals given follows the relation:
\[ h1 = \frac{3}{2} \times h2 \]
- This relationship highlights the consistent behavior of falling objects under gravity during different time intervals.
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
A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2?
Question Description
A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2?.
A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2?.
Solutions for A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2? 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 A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2? defined & explained in the simplest way possible. Besides giving the explanation of
A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2?, a detailed solution for A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2? has been provided alongside types of A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2? theory, EduRev gives you an
ample number of questions to practice A stone falls under gravity and covers h1 distance from time t=2 to 4 sec and h2 distance from t=6 to 8 sec. find relation between h1 and h2? 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