3. A train starting from a railway
station and moving with uniform
acceleration attains a speed
40 km h in 10 minutes. Find its
acceleration
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As the train started from a railway station,
So, initial velocity of train, u = 0
Final velocity of train, v = 40 kmph
Final velocity, v = 40 × 5/18 = 11.11 m/s
Assuming uniform acceleration of ‘a’ m/second square
Time taken by train to get it's final velocity, t = 10 minutes = 600 seconds
Using first equation of motion,
V = u + at
⇒ 11.11 = 0 + a×600
a = 11.11/600 = 0.0185 m/second square.
So, required acceleration , a = 0.0185 m/second square.
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