Derivation of v² = u² + 2as || 3rd equation of motion || Algebraic method || Motion, class 9

About this video:
Hello geniuses, in this video you will learn to derive the third equation of motion i.e v² = u² + 2as. This video is in a very simple language so that students can understand the derivation easily.
In this video you will get the complete step by step calculation with it's explanations.
Also, this video is extremely beneficial for the students of both class 9th & 10th. Thus, I hope that you will enjoy watching this video.

Derivation:
From second equation of motion we have,
s = ut + ½ at²
i.e., s = u [(v-u)/a] + ½ a[(v-u)/a]² [ Since, v = u + at ⟹ t = (v-u)/a ]
i.e., s = (uv - u² )/(a ) + a (v² + u² - 2uv) /2a²
i.e., s = (2uv – 2u² + v² + u² - 2uv )/2a
i.e., 2as = v² - u²
i.e., v² = u² + 2as

Imp link:
Motion (Class-9) NCERT || All numerical :    • Motion (Class-9) NCERT || All numeric...  
Scalar vs Vector quantities :    • Scalar vs Vector quantities || Motion...  
Speed vs Velocity || Motion Class- 9 :    • Speed vs Velocity || Motion Class- 9  
Distance vs Displacement || Motion Class - 9 :    • Distance vs Displacement || Motion Cl...  
Motion (Class 9) || Q. No. 8 of Exercise || NCERT :    • Motion (Class 9) || Q. No. 8 of Exerc...  
Motion, Class 9 || Exercise Solutions, NCERT || All questions :    • Motion, Class 9 ||  Exercise Solution...  
Derivation of v=u+at :    • Derivation of v=u+at || 1st equation ...  
Derivation of s = ut + ½ at² :    • Derivation of s = ut + ½ at² || 2nd e...  

#v²=u²+2as
#MotionClass9