NEET Exam > NEET Questions > The displacement of a body is given by s=1/2g...
Start Learning for Free
The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question
Most Upvoted Answer
The displacement of a body is given by s=1/2gt^2, where g is accelerat...
Explanation of the given problem
The given problem provides the displacement of a body as s=1/2gt^2, where g is the acceleration due to gravity. We need to find the velocity of the body at any time t.
Derivation of the formula for velocity
In order to find the velocity of the body, we need to differentiate the displacement equation with respect to time.
s = 1/2 gt^2
Differentiating w.r.t. time (t), we get
v = ds/dt = g*t
Therefore, the velocity of the body at any time t is given by v = gt.
Alternative derivation of the formula for velocity
Another way to derive the formula for velocity is by using the formula for displacement and the formula for acceleration.
s = ut + 1/2 at^2
where u is the initial velocity of the body and a is the acceleration.
Since the body is under the influence of gravity, the acceleration is equal to the acceleration due to gravity, i.e. a = g.
Substituting the value of a in the displacement formula, we get
s = ut + 1/2 gt^2
Differentiating w.r.t. time (t), we get
v = ds/dt = u + gt
Since the initial velocity of the body is zero (u = 0), we get
v = gt
Conclusion
Therefore, the velocity of the body at any time t is given by v = gt, which can be derived by differentiating the displacement equation with respect to time or by using the formula for displacement and acceleration.
Community Answer
The displacement of a body is given by s=1/2gt^2, where g is accelerat...
the ans shud be v=gt (u get this by differentiating s w.r.t t)the ans u r telling can be achieved through integration but as we know velocity is 1st derivative of displacement so ans is 'gt'
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question
Question Description
The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question.
The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question.
Solutions for The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question defined & explained in the simplest way possible. Besides giving the explanation of
The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question, a detailed solution for The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question has been provided alongside types of The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question theory, EduRev gives you an
ample number of questions to practice The displacement of a body is given by s=1/2gt^2, where g is acceleration due to gravity. The velocity of the body at any time t is answer - gt^3/6plz help me out with this question tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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