Question

A train starting from rest moves with uniform acceleration of 5m/s².Find its velocity when it has traveled for 1 km​

Answer 1

Answer:

from third law of motion,

v^2= u^2+ 2*a*s

here rest velocity u=0. acceleration a=5 m/s^2

change distance in unit term of acceleration i.e. 1 km= 1000 m distance

s=1000 m

put the values in above equation,,… v^2=0^2+ 2*5*1000

v^2= 10000 —-> v=root(10000)

v=100 m/s ans

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Answer 2

In the above Question , the following information is given -

A train starting from rest moves with uniform acceleration of 5m/s².

To find -

Find the velocity of the body after covering 1 km .

Solution -

Here , the body starts from rest . So , the initial velocity of the body , u is equal to 0 m / s .

Now , the acceleration of the body is uniformly equal to 5 m / s² .

Now , the body travels a length of 1 km or 1000 m .

Now ,let us find the time taken for the body to cover a length of 1000 m .

According to the second equation of motion -

S = ut + ½at²

Substituting the given values -

1000 = ½ × 5 t²

=> t² = 400

=> t = 20 seconds .

Now , according to the first equation of motion -

V = u + at

=> V_20s = 5 × 20

=> V = 100 m / s .

Thus , the velocity of the body after covering 1 km is 100 m / s .

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Note - This can also be solved directly by using the third equation of motion.