Question

V=u+at derive the equation

Answer 1

Answer:

Proved below

Step-by-step explanation:

Warning : This includes use of a Calculus

We know that

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

Expanding further we get

$adt = dv$

Integrating on both sides we get

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

$a\int\limits^t_0 {} \, dt = v - u$

$at - a(0) = v - u$

Hence PROVED,

$v-u = at$

$v = u+ at$