Step-by-step explanation:
Given that,
Initial speed of the bus, u = 0
Acceleration of the bus, a = 0.5 m/s²
Let v is the velocity at the end of 2 minutes. The change in velocity divided by time equals acceleration.
So,
![a=(v-u)/(t)\\\\v=u+at\\\\v=0+0.5* 120\\\\v=60\ m/s](https://img.qammunity.org/2021/formulas/physics/high-school/6ydi3aoheuvu1ekh1o4qiqc4gyjgoq7av9.png)
Let d is the distance cover during that time. So,
![v^2-u^2=2ad\\\\d=(v^2-u^2)/(2a)\\\\d=((60)^2)/(2* 0.5)\\\\d=3600\ m](https://img.qammunity.org/2021/formulas/physics/high-school/mt38pxvevvol7adgttcsuswswzdinn0a2r.png)
So, the final speed is 60 m/s and the distance covered during that time is 3600 m.