UPSC Exam > UPSC Questions > A body starts from rest and travels for t sec...
Start Learning for Free
A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is?
Most Upvoted Answer
A body starts from rest and travels for t second with uniform accelera...
Understanding the Problem
To find the time of travel (t) for a body that starts from rest with a uniform acceleration of 2 m/s² and covers a displacement of 16 m, we can use the equations of motion.
Key Information
- Initial velocity (u) = 0 m/s (starts from rest)
- Acceleration (a) = 2 m/s²
- Displacement (s) = 16 m
Using the Equation of Motion
The equation that relates displacement, initial velocity, time, and acceleration is:
s = ut + (1/2)at²
Since the initial velocity u = 0, the equation simplifies to:
s = (1/2)at²
Substituting the Values
Now substituting the known values:
16 = (1/2)(2)t²
Solving for Time (t)
- Simplifying the equation gives:
16 = t²
- Taking the square root of both sides:
t = √16
Final Calculation
Thus,
t = 4 seconds
Conclusion
The time of travel t for the body to cover a displacement of 16 m with a uniform acceleration of 2 m/s² is 4 seconds. This straightforward calculation helps in understanding basic kinematic principles essential for UPSC preparations.
To find the time of travel (t) for a body that starts from rest with a uniform acceleration of 2 m/s² and covers a displacement of 16 m, we can use the equations of motion.
Key Information
- Initial velocity (u) = 0 m/s (starts from rest)
- Acceleration (a) = 2 m/s²
- Displacement (s) = 16 m
Using the Equation of Motion
The equation that relates displacement, initial velocity, time, and acceleration is:
s = ut + (1/2)at²
Since the initial velocity u = 0, the equation simplifies to:
s = (1/2)at²
Substituting the Values
Now substituting the known values:
16 = (1/2)(2)t²
Solving for Time (t)
- Simplifying the equation gives:
16 = t²
- Taking the square root of both sides:
t = √16
Final Calculation
Thus,
t = 4 seconds
Conclusion
The time of travel t for the body to cover a displacement of 16 m with a uniform acceleration of 2 m/s² is 4 seconds. This straightforward calculation helps in understanding basic kinematic principles essential for UPSC preparations.
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 body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is?
Question Description
A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is?.
A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is?.
Solutions for A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t 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 A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? defined & explained in the simplest way possible. Besides giving the explanation of
A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is?, a detailed solution for A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? has been provided alongside types of A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? theory, EduRev gives you an
ample number of questions to practice A body starts from rest and travels for t second with uniform acceleration of 2 m/s². If the displacement made by it is 16 m, the time of travel t is? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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
|
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