Question
A train starting from a railway station and moving with uniform acceleration attains a speed $40\ km/h^{−1}$ in $10$ minutes. Find its acceleration.

Answer

Initial velocity of the train, $u = 0 ($since the train is initially at rest$)$ Final velocity of the train,
$v = 40\ km/h =40\times\frac{5}{18}=11.11\text{m/s}$
Time taken, $t = 10\ min = 10 \times 60 = 600s$
Acceleration, $\text{a}=\frac{\text{v}-\text{u}}{\text{t}}=\frac{11.11-0}{600}$
$0.0185\text{m/s}^2$
Here, the negative sign of acceleration indicates that the velocity of the car is decreasing.

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