Question

derive the equation v=u+at by integration​

Answer 1

Answer:

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Answer 2

Answer:

Let us use the acceleration formula here

$a=\frac{dv}{dt}$

$a*dt=dv$

Now, let us integrate both sides to get

$a*\int\limits^t_0 {dt}=\int\limits^v_u {dv}$

➡ $a(t-0)=(v-u)$

➡ $at-0=v-u$

➡ $at=v-u$

➡ $v=u+at$ (first equation of motion)

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