Question

A bus starting from rest moves with a uniform acceleration of $0.1m{s^2}$ for $2$ minutes. Find
(a) the speed acquired.
(b) the distance traveled.

Answer 1

To solve this question we should not about basic physics. In this question equation of motion will be use three equation of motion is:
$v = u + at$
$s = u + \dfrac{1}{2}a{t^2}$
${v^2} = {u^2} + 2as$
Uniform acceleration if speed of an object at constant rate that it will be uniform acceleration.

Complete step by step solution:
Bus start moving from rest so, $u = 0$ uniform acceleration of bus is, $a = 0.1m{s^2}$ time, $t = 2\min = 2 \times 60\sec = 120\sec$
The speed acquired will be,
$v = u + at$
$\Rightarrow v = 0 + 0.1 \times 120$
$\Rightarrow v = 12m{s^{ - 1}}$
The distance traveled will be,
$s = ut + \dfrac{1}{2}a{t^2}$
$\Rightarrow s = 0 \times 120 + \dfrac{1}{2}0.1 \times {\left( {120} \right)^2}$
$\Rightarrow s = 0 + 720 = 720m$

Note:
Motion is a phenomenon that is very common in our daily life. For example, the car in which you travel moves, the air we breathe is in motion, the blood is in our veins is in motion, the earth is in motion, the universe is moving and many more. The above three equations of motion have many impacts seen in daily life as well as nature. Sir Newton also had worked on this field and proposed three laws of motion which have great deal in our daily life.