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.

Answer :

Given:

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)

we get final speed in terms of m/s as:

=

= 11.11 m/s

And,

Time taken, t = 10 minutes (Given in Question)

= 10 × 60 seconds (As 1 Minute= 60 Seconds)

= 600 s

Formula used:

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 =

a = 0.0185 m/s2 or 0.067 km/ min

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