Question

a train starts from rest and accelerates uniformly at the rate of 5m/s2 for 5 seconds. calculate the velocity of train in 5 seconds

Answer 1

To solve the given mathematical problem in the question,we have to apply the following formula of velocity.

The formula is:

v=u+at

[Here, v=final velocity ; u=initial velocity ; a= acceleration ; t = time]

So, according to the data mentioned in the question;

v=0+(5×5) [because it starts from rest,u=0]

v=25

So,the final velocity will be 25m/s (answer)

Answer 2

Answer: the final velocity of the train is 25 m/s.

Explanation:

According to the question,

As a train starts from rest and accelerates uniformly at the rate of 5m/s2 for 5 seconds.

As the velocity of the train in 5 seconds

As the train starts from rest, the initial velocity of the train, $v_{i} =0$

Now the time = 5 sec

Acceleration = 5 $m/s^{2}$

So now let the velocity of the train be v in 5 sec,

As we know, the equation of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time,  $v=u+at$

Where, v=final velocity ; u=initial velocity ; a= acceleration ; t = time

So now putting all the values as,

v=u+at

v=0+5×5

v=25 m/s

Hence, the final velocity of the train is 25 m/s.

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