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Derive s=ut+1/2at2 plz......................... ans soon

is graphical solution ok?
plz ans it soooon
y u have any doubt about this ques


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For deriving the equation of motion for a uniformly accelerated  body with respect to velocity.
 \int\limits^u_v  \, dv= \int\limits^0_t {a} \, dt
v=u+at(1st equation of motion)
The velocity of body is given by first derivative.
ds=v dt
v=u+at , ds=(u+at)dt
differentiating the above equation.
 \int\limits^0_s  \, ds= \int\limits^0_t {u} \, dt+ \int\limits^0_t {at} \, dt
s=ut+1/2 at^2

3 5 3
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