Question

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

• A. $20\text{m/s}$
• B. $25\text{m/s}$
• C. $10\text{m/s}$
• D. $5\text{m/s}$

Answer 1

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 $5\text{s}$

From the equation of motion

We know,

$v=u+at$

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) $25\text{m/s}$