Question

a train starting from rest moves with uniform acceleration of 5 m/s2 .find its velocity when it has travelled a distance of 1 km

Answer 1

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

What is the first equation of motion?

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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