Question

The speed of a bus starting from rest and moving with uniform acceleration of 0.1m/s2 for 2 minutes is

Answer 1

Given:
a=0.1m/s^2
t=2min
=2 into 60
=120sec
From given data we can impliy the formula:
a=u/t
u=at
=0.1 into 120
=12m/s

Answer 2

$\huge\star\:\:{\orange{\underline{\purple{\mathcal{Solution}}}}}$

$\:\sf\underline\pink{Here\:we\:have\::-}\:$

$\:\sf\underline\pink{Initial\:velocity\:(u)\:=\:0\dfrac{m}{s}}\:$

$\:\sf\underline\pink{Acceleration\:(a)\:=\:0.1\dfrac{m}{s}^{2}}\:$

$\:\sf\underline\pink{Time\:(t)\:=\:120s}\:$

$\huge{\orange{\underline{\red{\mathscr{Speed\: aquired}}}}}$

We know :-

${\purple{\boxed{\large{\bold{V\:=\:U\:+\:at}}}}}$

$\underline\text{⟹\:\:v\:\:=\:\:0\:\:+\:\:0.1\:\:×\:\:120:-}$

$\underline\text{⟹\:\:v\:\:=\:\:12m/s:-}$

$\huge{\orange{\underline{\pink{\mathscr{Distance\: travelled}}}}}$

We know :-

${\purple{\boxed{\large{\bold{S\:=\:ut\:+\:}\dfrac{1}{2}at^2}}}}$

$\underline\text{⟹\:\:0\:\:×\:\:120\:\:+\:\:1/2\:\:×\:\:0.1\:\:120(2)}$

$\underline\text{⟹\:\:0\:\:×\:\:0.1\:\:×\:\:14400:-}$

$\boxed{720m}$

$\displaystyle\blue{\underline{\underline{Thus\:bus\:will\:travel\:of\:720m\:in\:2\: minutes}}}$