It's finally time for a battle to end the long-running dispute between pi- rates and ninjas. They face off at 90 m. The pirate limps towards the ninja at 2ms , while the ninja glides towards the pirate at twice the speed. It is only a matter of time before they collide and crush the loyal parrot which repeatedly flies back and forth at a constant speed of 8 ms-1, elas- tically bouncing off the two. What is the total distance the parrot travels before being crushed?