A cave explorer moves downward \(15 \ m / min\) for \(6\) minutes, climbs \(8 \ m / min\) for \(4\) minutes, and then moves downward again \(6 \ m / min\) for \(5\) minutes.
(a) Represent each movement using integers.
[Note: Enter the integers in order given in question.]
(b) Calculate the total upward movement.
(c) Calculate the total downward movement.
(d) Find the net movement.
(e) State the final position relative to the starting point.
[Note: Include positive or negative symbols wherever needed]