Free Falling Spiderman. I need to find height

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SUMMARY

To determine the height h of the building from which Spiderman falls, it is established that he falls a distance of h/4 in the last second of his fall. Using the equations of motion under constant acceleration due to gravity, specifically the kinematic equation s = ut + 1/2 at², where u is the initial velocity (0 m/s), a is the acceleration (9.81 m/s²), and t is the total time of fall, one can derive the total height h. The solution involves setting up equations based on the distances fallen over specific time intervals.

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Spiderman steps from the top of a tall building. He falls freely from rest to the ground a distance of h he falls a distance of h/4 in the last 1.0 s of his fall. What is the height h of the building?





The attempt at a solution is on the photo.
I am stuck and don't know where to go to get rid of the h. What can I do?
 

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for these type of problems, its always good to specify all the requirements

you almost got it , but i think you couldn't see how to proceed because it got messy and confusing

[Complete solution removed. Hoot]
 
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