Class 9 Exam > Class 9 Questions > Please tell me about the graphical derivation...
Start Learning for Free
Please tell me about the graphical derivation of equations of motion?
Most Upvoted Answer
Please tell me about the graphical derivation of equations of motion?
First equation of motion is v=u+at
acceleration of a body= final velocity-initial velocity/time
so, a=v-u/t
at=v-u
at+u=v
hence v=u+at
where u=initial velocity
v= final velocity
t= time and
a=acceleration
now second equation of motion
s=ut + 1/2at^2
so (from the first equation of motion we got that v=u+ at)
hence v-u=at
v-u/a=t
average speed= u+v/2
distance= speed×time
s= u+v/2×t
s= (u+u+at/2) ×t
s = (2u+ at/2) ×t
s = 2ut/2 + at^2/t
hence s = ut + 1/2at^2
third equation of motion
v^2 =u^2+2as
( from the first equation of motion we get that v= u+at)
so squaring on both sides
(v) ^2=( u + at) ^2
v^2 =u ^2 + 2uat + a^2t^2
v^2= u^2 + 2a (it + 1/2at^2)
v^2= u^2 + 2a s
hence proved
acceleration of a body= final velocity-initial velocity/time
so, a=v-u/t
at=v-u
at+u=v
hence v=u+at
where u=initial velocity
v= final velocity
t= time and
a=acceleration
now second equation of motion
s=ut + 1/2at^2
so (from the first equation of motion we got that v=u+ at)
hence v-u=at
v-u/a=t
average speed= u+v/2
distance= speed×time
s= u+v/2×t
s= (u+u+at/2) ×t
s = (2u+ at/2) ×t
s = 2ut/2 + at^2/t
hence s = ut + 1/2at^2
third equation of motion
v^2 =u^2+2as
( from the first equation of motion we get that v= u+at)
so squaring on both sides
(v) ^2=( u + at) ^2
v^2 =u ^2 + 2uat + a^2t^2
v^2= u^2 + 2a (it + 1/2at^2)
v^2= u^2 + 2a s
hence proved
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
Please tell me about the graphical derivation of equations of motion?
Question Description
Please tell me about the graphical derivation of equations of motion? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Please tell me about the graphical derivation of equations of motion? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Please tell me about the graphical derivation of equations of motion?.
Please tell me about the graphical derivation of equations of motion? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Please tell me about the graphical derivation of equations of motion? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Please tell me about the graphical derivation of equations of motion?.
Solutions for Please tell me about the graphical derivation of equations of motion? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Please tell me about the graphical derivation of equations of motion? defined & explained in the simplest way possible. Besides giving the explanation of
Please tell me about the graphical derivation of equations of motion?, a detailed solution for Please tell me about the graphical derivation of equations of motion? has been provided alongside types of Please tell me about the graphical derivation of equations of motion? theory, EduRev gives you an
ample number of questions to practice Please tell me about the graphical derivation of equations of motion? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 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