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A train starting from a railway station and moving with uniform acceleration attains a speed of $40 km / h in 10 minutes$ . What is its acceleration__ $m / s²$ ?

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- 0.0185

0.0185

0.0186

- 0.0186

answer is B.

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Detailed Solution

A train starting from a railway station and moving with uniform acceleration attains a speed of

40 km / h in 10 minutes

. Its acceleration is

0.0185 m / s²

.
The Initial speed of the train,

u = 0 km

. (Because the train starts from the rest)
The Final speed of the train,

v = 40 km / h

= 40 \times \frac{5}{18}

= 11.11 m / s

Time taken by the train to attain the speed

= 10 minutes

= 10 \times 60

= 600 \sec

.
Acceleration

= a

From the Formula

a = \frac{(v - u)}{t}

Putting the values, we get
⇒

a = \frac{(11.11 - 0)}{600}

⇒

a = 0.0185 m / s²

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