Question 3
A train starting from a railway station and moving with uniform acceleration attains a speed 40 kmph in 10 minutes. Find its acceleration.

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Solution

Given, initial velocity of the train, u = 0,
final velocity of the train, $v = 40 k m p h = 40 \times \frac{5}{18} = 11.11 m s^{- 1}$
Time taken, $t = 10 m i n u t e s = 10 \times 60 = 600 s$
We know, acceleration, $a = \frac{v - u}{t} = \frac{11.11 - 0}{600} = 0.0185 m s^{- 2}$
Hence, the acceleration of the train is $0.0185 m s^{- 2}$ .

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