Equations of Motion : Derivation of First & Second Equations of Motion - Motion | Class 9 Physics

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✅ In this video,

✔️ Class: 9
✔️ Subject: Physics
✔️ Chapter: Motion
✔️ Topic Name: Equation of Motion by Graphical Method
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00:00 Introduction
0:31 Equations of Motion : Derivation of First & Second Equations of Motion
15:12 Websites Overview
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Points covered in this video:-

Equation of Motion by Graphical Method
- Equation for v - t relation
- These equations give relationship between u, v, t, a and distance travelled by the bodies.
- Applicable on the motion of bodies with uniform acceleration.

Equation for v - t relation
Area under v -t graph gives displacemnet
By defination of acceleration

In v - t graph,
S = area of trapezium ABCO
S = ½ (BD + AO) X OD
S = ½ (v + u) x t
Putting the value of t , we get
S = ½ (v + u) x (v - u)/a
S = ½ v2 - vu + uv - u2
a
S = ½ [v2 - u2]/ a
2aS = v2 - u2
S = A [area of trapezium ABDO]
S = A [ABC + ACOD]
S = ½ [AC X BC] + [AO X OD]
S= ½ [t x (v - u)] + ut
S = ut + ½ t [v - u]
S = ut + ½ t [at]
S = ut + ½ at2 .

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How do you took ½ in final statement from 2nd equation as it is ut+at²/2=S

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