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?

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A train starting from rest moves with uniform acceleration of $5 m / s^{2}$ . Find its velocity when it has travelled a distance of $1 km$ ?

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100 m / s

50 m / s

40 m / s

30 m / s

answer is A.

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Detailed Solution

A train starting from rest moves with uniform acceleration of

5 m / s^{2}

. Its velocity when it has travelled a distance of

1 km

100 m / s

.
Given,
Acceleration

a = 5 m / s^{2}

Distance,

s = 1000 m

Initial velocity,

u = 0

We know that, Newton's equation law of motion,

v^{2} = u^{2} + 2 as

\Rightarrow v^{2} = 0 + 2 \times 5 \times 1000

\Rightarrow v = \sqrt{10000} \Rightarrow v = 100 m / s

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