1. A bus starting from rest moveswith a uniform acceleration of0.1 ms2

1.	1. A bus starting from rest moveswith a uniform acceleration of0.1 ms2 for 2 minutes. Find (a)the speed acquired, (b) thedistance travelled.
Answer» $\bf{\underline{Given}}:-$ Acceleration (a) = 0.1 m/s² Time (t) = 2 min = 120 sec Initial velocity (U) = 0 m/s $\bf{\underline{To\:Find}}:-$ The speed aquired = ? The distance travelled = ? $\bf{\underline{Solution}}:-$ $\small\gray{\bigstar}\:\:{\underline{\boxed{\bf\purple{Using\:{1}^{st}\:equation\:of\:motion}}}}$ $\blue{\bigstar}\:\:{\underline{\boxed{\bf\pink{v=u+at}}}}$ $\rm\longrightarrow\:v=0+0.1\times\:120$ $\rm\longrightarrow\:v=0.1\times\:120$ $\rm\longrightarrow\:v=12\:m/s$ Now, $\small\orange{\bigstar}\:\:{\underline{\boxed{\bf\blue{Using\:{3}^{rd}\:equation\:of\:motion}}}}$ $\red{\bigstar}\:\:{\underline{\boxed{\bf\orange{{v}^{2}={u}^{2}+2as}}}}$ $\rm\longrightarrow\:{(12)}^{2}={(0)}^{2}+2\times\:0.1\times\:s$ $\rm\longrightarrow\:144=2\times\:0.1s$ $\rm\longrightarrow\:\dfrac{144}{0.2}=s$ $\rm\longrightarrow\:720=s$ $\rm\longrightarrow\:s=720\:m$ Hence,the speed aquired = 12 m/s and the distance travelled = 720 m. $\pink{\bigstar}\:\:{\underline{\boxed{\bf\green{More\:Information}}}}$ ➝ Speed :- It is defined as the distance COVERED by per unit time. SI unit of speed is m/s. CGS unit of speed is cm/s. It is a scaler quantity. It is ALWAYS POSITIVE. ➝ Distance :- It is defined as the actual PATH length covered by moving object. SI unit of distance is m. CGS unit of distance is cm. It is a scaler quantity. distance is always positive.