Here we can say that if amount of acceleration is more than it will cause more damage
so here in order to decrease the acceleration we can say

so it is ratio of change in velocity and time interval
where if time interval is to be increased in order to decrease the amount of acceleration
So the time to stop after jumping from large height should be large so that acceleration will be very small.
In order to have large time we can say that the chord must have to stretch more amount so that it will take long time to stop and hence we will get less acceleration and this will cause least damage