Derive second equation of motion (Equation for position time relation) with the help of Graphical Representation
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Derive second equation of motion (Equation for position time relation) with the help of Graphical Representation
please help me
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Answer:
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Answer:
The distance covered by the object moving with uniform acceleration is given by the area of trapezium ABDO
Therefore,
Area of trapezium ABDOE =
2
1
× (sum of parallel sides + distance between parallel sides)
Distance(S)=
2
1
(DO+BE)×OE
S=
2
1
(u+v)×t...............(i)
we know that,
a=
t
v−u
from above equation we can say,
t=
a
v−u
...........(ii)
After substituting the value of t from equation(ii) in equation (i)
S=
2a
1
(u+v)(v−u)
2aS=(u+v)(v−u)
2aS=v
2
−u
2