A train starts from rest and accelerate uniformly at the rate of 5-m-s-2 nbsp-for 5-sec- Calculate the velocity of train in 5-sec-25-m-s10-m-s5-m-s20-m-s

The correct option is A 25 m/sAs the train starts from rest, initial velocity of the train, say, v_i=0 Let the velocity of train be v in 5 s Then, we have Acce ...

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Byju's Answer

Standard XII

Physics

Different Kinds of Motion

A train start...

Question

A train starts from rest and accelerate uniformly at the rate of $5 {m/s}^{2}$ for $5 sec$ . Calculate the velocity of train in $5 sec$ .

20 m/s

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25 m/s

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10 m/s

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5 m/s

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Solution

Step 1, Given data
As the train starts from rest, the initial velocity of the train, say, $v_{i} = 0$
Time = 5 sec
Acceleration = 5 m/ $s^{2}$
Step 2, Finding the velocity
Let the velocity of train be $v$ in $5 s$
From the equation of motion
We know,
$v = u + a t$
Putting all the values
$v = 0 + 5 \times 5$
After solving
v = 25 m/s
Hence the final velocity of the train is 25 m/s
The correct option is (A) $25 m/s$

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