Question

Derive second equation of motion (Equation for position time relation) with the help of Graphical Representation


please help me​

Answer 1

Answer:

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Answer 2

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