derive the first equation of uniform accelerated motion? (derive V=u+at)
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Consider a body having initial velocity 'u'. Suppose it is subjected to a uniform acceleration 'a' so that after time 't' its final velocity becomes 'v'. Now, from the definition of acceleration we know that:
Acceleration =
Time taken
Change in velocity
or Acceleration =
time taken
Final velocity- Initial velocity
So, a=
t
v−u
at=v−u
and, v=u+at
where v= final velocity of the body
u= initial velocity of the body
a= acceleration
and t= time taken
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