describe how the first equation of motion came ?
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Derive the first equation of motion v = u + at, using the velocity- time graph for a body moving along a straight line with uniform acceleration
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Question
describe how the first equation of motion came ?
Answer
the first equation of motion is. v = u + at . it gives the velocity acquired by a body in time (t) .
now we have to decide the first equation of motion :-
consider a body having
- initial velocity
suppose is subjected to a
- uniform acceleration
so that the after time its final velocity becomes 'v' .
now from the definition of acceleration we know that ;
=> acceleration = change in velocity / time taken
OR
=> acceleration
= final velocity - initial velocity / time taken
So,
=> a = v-u/t
=> at = v-u
and v = u + at
where ,
- v is the final velocity of the body
- u is the initial velocity of the body
- a is the acceleration of the body
- t is the time taken by the body
Hence, we derived it !
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