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

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Calculating vertical height from ground reaction force, mass, and time is feasible by first determining impulse and then velocity. The change in velocity can be calculated using the formula FΔt / m = ΔV. To find the initial velocity, it is crucial to recognize that the final velocity at the peak of the jump is zero. Utilizing the equations of uniformly accelerated motion (s.u.v.a.t.), the vertical distance can then be derived. This method effectively links force, mass, and time to jump height.
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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.
 

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