Class 11 Exam > Class 11 Questions > The acceleration of a particle is increasing ...
Start Learning for Free
The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be?
Most Upvoted Answer
The acceleration of a particle is increasing linearly with time t as b...
Community Answer
The acceleration of a particle is increasing linearly with time t as b...
Explanation:
The acceleration of the particle is given as bt, which is increasing linearly with time t.
Using kinematic equations:
We can find the distance travelled by the particle in time t using the following kinematic equation:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.
Integrating the acceleration equation with respect to time t, we get the velocity equation:
v = ut + (1/2)bt^2
Integrating the velocity equation with respect to time t, we get the distance equation:
s = ut + (1/2)bt^2
where s is the distance travelled by the particle in time t.
Substituting values:
Substituting the given values, we get:
s = ut + (1/2)bt^2
s = u * t + (1/2) * b * t^2
Hence, the distance travelled by the particle in time t is u * t + (1/2) * b * t^2.
Conclusion:
Therefore, the distance travelled by the particle in time t is u * t + (1/2) * b * t^2.
The acceleration of the particle is given as bt, which is increasing linearly with time t.
Using kinematic equations:
We can find the distance travelled by the particle in time t using the following kinematic equation:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.
Integrating the acceleration equation with respect to time t, we get the velocity equation:
v = ut + (1/2)bt^2
Integrating the velocity equation with respect to time t, we get the distance equation:
s = ut + (1/2)bt^2
where s is the distance travelled by the particle in time t.
Substituting values:
Substituting the given values, we get:
s = ut + (1/2)bt^2
s = u * t + (1/2) * b * t^2
Hence, the distance travelled by the particle in time t is u * t + (1/2) * b * t^2.
Conclusion:
Therefore, the distance travelled by the particle in time t is u * t + (1/2) * b * t^2.
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
The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be?
Question Description
The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? 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 The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be?.
The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? 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 The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be?.
Solutions for The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? 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 The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? defined & explained in the simplest way possible. Besides giving the explanation of
The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be?, a detailed solution for The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? has been provided alongside types of The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? theory, EduRev gives you an
ample number of questions to practice The acceleration of a particle is increasing linearly with time t as bt . The particle starts from origin with an initial velocity u . The distance travelled by the particle in time t will be? 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