A train is accelerating at a rate of 2 km/hr/s. If its initial velocity is 20 km/hr, what is its velocity after 30 seconds?

"2 km/hr/s" means that in each second, its engines can increase its speed by 2 km/hr.

If it keeps doing that for 30 seconds, its speed has increased by 60 km/hr.

On top of the initial speed of 20 km/hr, that's 80 km/hr at the end of the 30 seconds.

This whole discussion is of speed, not velocity. Surely, in high school physics,

you've learned the difference by now. There's no information in the question that

says anything about the train's direction, and it was wrong to mention velocity in

the question. This whole thing could have been taking place on a curved section

of track. If that were the case, it would have taken a team of ace engineers, cranking

their Curtas, to describe what was happening to the velocity. Better to just stick with

speed.