JEE Kinematics 1

Satvik is standing near the end opposite to the engine of a train, he has to board to. His boarding coach is at a distance $100\ m$ from that end. The train gives a whistle and starts accelerating with constant acceleration $0.5\ m/s^2$. Satvik can run with a maximum speed of $36\ km/hr$. Assuming Satvik and train starts moving at same time and Satvik takes 1 second to reach his maximum speed, choose the correct option:

This problem is a part of My picks for JEE 2