Equation of motion by graphical method. 1. velocity - time relation 2. Position - time relation 3. Position - velocity relation

1. Motion

2.  Equation of motion by graphical method
Three equation of motion:
First Equation of Motion :
v=u+at (Velocity - Time relation )
Second Equation of Motion :
s=ut+1/2at2 (Position - Time relation)
Third Equation of Motion :
v2=u2+2as (Position -Velocity relation )

3.  First Equation of Motion :
v=u+at (Velocity - Time relation )

4. The initial velocity of the
body, u = OD =AE
The final velocity of the
body, v = OC = BE
BE = AB + AE
Therefore, v = BA + u
AB = v - u
AD = OE = t

5.  Second Equation of Motion :
 s=ut+1/2at2 (Position - Time relation)
The distance travelled by
the object is given by
Area ABDE which is the
trapezium =s
s = area of ACDE +
area of ABC

6.  Third Equation of Motion :
v2=u2+2as (Position -Velocity relation )
Area of OBDE which is trapezium
( OD + BE) ×OE
2
(u + v )t
2
(u + v )(v - u )
2a
v2 - u2
2a
=
=2as = v2 - u2
s =
s=
=v2 = u2 + 2as

7. Thank You
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