Derive three equation of motion mathematically & geographically .
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FIRST DRAW A VT GRAPH 1ST EQUATION
Slope of velocity time graph =acceleration
slope =y2 -y1 /x2-x1
a =v -u /t
at =v-u
v=u+at
2ND EQUATION
displacement =area of rectangle +area of triangle
s =ut +1/2 ×t ×(v-u)
WE CAN WRITE V -U AS AT ,PROVED PREVIOUSLY IN 1ST EQUATION
s =ut +1/2 ×t × at
s =ut +1/2 at ^2
3RD EQUATION
displacement =area of trapezium
s =1/2 ×v+u ×t
We can write v+u as v-u /a
2 s =v+u ×v-u /a
2as =v ^2-u ^2
Slope of velocity time graph =acceleration
slope =y2 -y1 /x2-x1
a =v -u /t
at =v-u
v=u+at
2ND EQUATION
displacement =area of rectangle +area of triangle
s =ut +1/2 ×t ×(v-u)
WE CAN WRITE V -U AS AT ,PROVED PREVIOUSLY IN 1ST EQUATION
s =ut +1/2 ×t × at
s =ut +1/2 at ^2
3RD EQUATION
displacement =area of trapezium
s =1/2 ×v+u ×t
We can write v+u as v-u /a
2 s =v+u ×v-u /a
2as =v ^2-u ^2
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