Question

A train starting from a railway station and moving with uniform acceleration attains a speed of $40kmh{r}^{-1}$ in $10minutes$. Find its acceleration in the units of $m{s}^{-2}$.

• A. $4$
• B. $0.067$
• C. $0.0185$
• D. $1.11$

Answer 1

The correct option is C $0.0185$

Given: $t=10min=10\times 60=600s$
Initial speed of train is given as: $u=0m{s}^{-1}$

Final speed of train is given as: $v=40km{h}^{-1}=\frac{40\times 1000}{3600}=11.1m{s}^{-1}$
Now acceleration is given by the relation:
$a=\frac{v-u}{t}=\frac{11.1-0}{600}=0.0185m{s}^{-2}$