Q. 33.9( 118 Votes )
A 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.
Initial speed, u = 0 (As it starts from rest)
Final speed, v = 40 km/h (Given in Question)
We know 1 km=1000 m and 1 hour=60 x 60 seconds)
== 11.11 m/s
And,Time taken, t = 10 minutes (Given in Question)
= 10 × 60 seconds (As 1 Minute= 60 Seconds)= 600 s
by the first equation of motion,
v = u + a × t
where v, Final velocity
u, initial velocity
t, time taken to reach to final velocity
a, acceleration of the train
By rearranging the Equation , we get
a =a =
a = 0.0185 m/s2 or 0.067 km/ min
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