Calculating Vertical Height with Ground Reaction Force, Mass, and Time

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Is it possible to find the vertical height of a jump using ground reaction force, mass, and time? I might be wrong, but I think my steps would be to find the impulse, then velocity, then somehow get the vertical height with that..so far I have change in velocities using FΔt / m = ΔV. From here I don't know how to get to the initial velocity...
 
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Yes, it is possible. To get the initial velocity, remember that the final velocity (i.e. the velocity at the top of the jump) will be zero. Then you should be able to use s.u.v.a.t. equations to find the distance.