Question

Derive the following
1) v=u+at

Answer 1

$\rm{We \: know \: that \: acceleration = \frac{change \: in \: velocity}{time} }$

$\implies\rm{ acceleration= \frac{final \: velocity - initial \: velocity}{time \: taken} }$

Taking

$\star$Acceleration = a

$\star$ Final velocity = v

$\star$ Initial velocity = u

$\star$ Time = t

$\implies \rm{a = \frac{v - u}{t} }$

$\implies\rm{or \: \: at = v-u }$

$\fbox{\therefore{ \rm{v = u + at}}}$