train starting from a railway station and moving with uniform acceleration attains a speed of 40 km h -1 in 10 minutes find its acceleration
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A train starting from a railway station and moving with uniform acceleration attains a speed 40km/ph in 10 minutes. Find its acceleration. uniform accelaration = ? ans : The train accelarates uniformly at the rate of 0.185m/s.
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Given :-
The initial velocity of the train = 0 m/s⁻¹
Terminal velocity of the train = 40 km/h
Time interval = 10 min
To Find :-
The acceleration of the train.
Solution :-
We know that,
- u = Initial velocity
- t = Time
- v = Final velocity
- a = Acceleration
By the formula,
Given that,
Initial velocity (u) = 0 m/s⁻¹ (at rest)
Final velocity (v) = 40 km/h = 11.11 m/s⁻¹
Time (t) = 10 min = 600 sec
Substituting their values,
a = (11.11 - 0)/600
a = 0.0185 m/s⁻²
Therefore, the acceleration of the train is 0.0185 m/s⁻².
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