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How to derive the 3 equations of motion graphically ?

Posted by Tanushree & Anushree Dutta 4 years, 4 months ago

CBSE > Class 09 > Science

2 answers

Yogita Ingle 4 years, 4 months ago

S= 1/2(u+v)×t

Now, since t = (v – u)/ a

The above equation can be written as:

S= 1/2(u+v)×(v-u)/a

Rearranging the equation, we get

S= 1/2(v+u)×(v-u)/a

S = (v²-u²)/2a

Third equation of motion is obtained by solving the above equation:
v2 = u2+2aS

1Thank You

Yogita Ingle 4 years, 4 months ago

(i) It is known that the acceleration (a) of the body is defined as the rate of change of velocity.
So, the acceleration can be written as:
a = v − ut
From this, rearranging the terms, the first equation of motion is obtained, which is:
v = u + at
:

1Thank You

ANSWER

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