derive S= u + 1/2 at2
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derive S= u + 1/2 at2
distance travel, s = average velocity * time
average velocity = (initial velocity, u, + final velocity, v) / 2
=>
s = [ (u + v)/2 ] * t
acceleration, a = (final velocity, v - initial velocity, u) / time taken, t
making 'v' subject of formula
v = u + at
replace ' v = u + at ' in equation ' s = [ (u + v)/2 ] * t '
=>
s = [ (u + u + at)/2 ] * t
s = [ (2u + at)/2 ] * t
s = 2ut/2 + (at^2)/2 at^2 means a * t squared
s = ut + (at^2)/2
=>
s = ut + 1/2(at^2)
REMEMBER:
There are 2 condition:
It must be a uniformly accelerated body and it should be a linear motion..
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