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I apologize in advance if this isn't in the correct forum. I have a hypothetical question. If vaulter A- has a top handgrip of x, clearing height y with standards set at z. Will an increase in the amount of steps taken during the approach run; with the top grip at x held constant, have the vaulter:
1)jump <y with standards at z
2)jump y with standards <z
3)have an increase in both y and z, or
4)potentially hurt y and/or z
with handgrip,pole, Technique and vaulter all being constant

A secondary situation:
If Vaulter A keeps his/her handgrip at x but increases to a stiffer pole will the vaulter be able to penetrate to point of standards at Z with an increased run or will this increase of stiffness make them penetrate less even with an increase in steps?

I apologize in advance if this isn't in the correct forum. I have a hypothetical question. If vaulter A- has a top handgrip of x, clearing height y with standards set at z. Will an increase in the amount of steps taken during the approach run; with the top grip at x held constant, have the vaulter:

1)jump <y with standards at z

Probably

2)jump y with standards <z

No

3)have an increase in both y and z, or

Sometimes but still unlikely

4)potentially hurt y and/or z
with handgrip,pole, Technique and vaulter all being constant

If you go back with the same hand grip and same pole, your standards should need to be slid back significantly

A secondary situation:
If Vaulter A keeps his/her handgrip at x but increases to a stiffer pole will the vaulter be able to penetrate to point of standards at Z with an increased run or will this increase of stiffness make them penetrate less even with an increase in steps?

It all depends on the situation, In this case, generally if you are on the same grip with a stiffer pole, if you add speed you should land a little deeper if not the same as long as the pole is not overly too stiff. Pole vaulting is all about energy transfer, the more energy you put in and convert in the upward direction the higher you will go, so faster is always better if you have the right pole and grip.

But you have to remember here that everything is case by case and there is no general assumption that can be made. But there is not too many situations where you would keep the same hand grip and move your run back. Every time you move back you should gain more speed and then need a higher grip. The only time this would be different is if you are trying for a stiffer pole that you are getting a good even bend out of but are just not quite landing deep enough into the pit. But in general when trying to move back to a longer run you should keep the same grip as the run before to test everything out and get comfortable and then gradually move your grip up and increase the stiffness of the pole from there.

But these are one of those things you really need to see the vault to know what will happen or what the vaulter needs.