Derivation of First Equation of Motion
Derivation of First Equation of Motion
Derivation of First Equation of Motion:
Equation for Velocity-Time Relation (First Equation)
Velocoty time graph of an object that moves under uniform acceleration is shown in figure. Let the initial velocity of the object be u (at point A) and then it increases to v (at point B) in time t. The velocity changes at a uniform rate a.
The perpendicular lines BD and BE are drawn from point B on the time and the velocity axIs respectively, the initial velocity is represented by OA, the final velocity is representeed by OE and the time interval t. Let us draw AC parallel to OD.. From the graph, we observe that BD= BC + CD = BC + OA ...(i) But BD = v and OA = u and substituting in Eq. (i) we get v = BC + u or BC = v -u From the velocity-time graph, the acceleration of the object is given by the slope |  |
Substituting OD= t, we get
or BC = at
Using Eqs. (ii) and (iii), we get
v = u + at
Hence, the first equation of motion has been derived.
Students / Parents Reviews [10]
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
