Question

The gratest acceleration or deceleration that a train may have is a. The minimum time which the train can start from one station to stop at the next (at a straight distance of s is)?

Answer 1

The answer is \[2\sqrt{s/a}\]

Answer 2

try find the distance travelled to reach the midpoint

Answer 3

So the train will use it's maximum acceleration, and it's maximum deceleration to complete the journey in the shortest time. The velocity time graph would be something like this: