Question

A bus starting from rest moves with a uniform acceleration of 0.1 ms^-2 for 2 minutes. Find the speed acquired.

Answer 1

Step 1: Given data

1. The initial velocity(u) of the bus is zero as it starts from rest.
2. The uniform acceleration of the bus is 0.1 m/s.
3. Time taken by the bus is $2\mathrm{minutes}=2\times 60=120\mathrm{seconds}.$

Step 2: Finding the final velocity

Now, using the 1st equation of motion,

$\mathrm{v}=\mathrm{u}+\mathrm{at}$

Where,

u and v are the initial and final velocities, a is acceleration, and t is time.

$$\begin{gathered} \Rightarrow \mathrm{v}=0+0.1\times 120 \\ \Rightarrow \mathrm{v}=12\mathrm{m}/\mathrm{s} \end{gathered}$$

Hence, the final velocity at the end of 2 minutes is 12 m/s.