solution: part a.

We find the time it takes for the train to get to the hole: Note that the subscripts for the velocities show how the velocities are measured. tex2html_wrap_inline36 means the velocity of the train (t) relative to the ground (g) and so on with p=person.

eqnarray8

The person needs to go 15m relative to the train in 2.5s

eqnarray15

tex2html_wrap40