# C) If a train accelerates at 1.5 m/s2 calculate the time taken to increase its velocity from rest to 50 km/h and the distance travelled in this time. ?

##### 1 Answer

Refer to the explanation.

#### Explanation:

We first convert to

So here, the speed in

Then to find the time taken, we use the equation:

where:

#v# is the final velocity of the train

#u# is the initial velocity of the train

#a# is the train's acceleration

#t# is the time taken

So, we get:

To find the total distance traveled, we use the equation:

where:

#d# is the distance traveled

#v_"avg"# is the average velocity of the train

#t# is the time taken

Here,

So, the distance traveled is then: