The velocity of a train starting from rest moves with a uniform acceleration of 5 m/s2 would be 100 m/s.
Acceleration = 5 m/s2
Distance, s = 1 km = 1000m
Intital velocity, u=0 m/s
We know that, Newton's equation of motion,
s = ut+ 1/2 at^2
1000 = 0 + 1/2 x 5 x t^2
1000 = 5/2 x t^2
2000/ 5 = t^2
t = 20 s
Also,a = (v-u)/t
5 = v-0/20
100 = v
v = 100 m/s
Hence, the velocity of a train starting from rest moves with a uniform acceleration of 5 m/s2 would be 100 m/s.
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