How to Find Vertical Displacement Between Two Jumping Basketball Players?

AI Thread Summary
To find the vertical displacement between two jumping basketball players, Arabella and Boris, the focus is on the time interval before Boris begins his jump. The height of Arabella's raised hands, hA(t), can be expressed using the vertical leap, H, and gravitational acceleration, g, while Boris's height, hB(t), is zero until he jumps. The vertical displacement, D(t), for the interval 0 < t < tR is simply equal to hA(t), as Boris has not yet started his jump. The discussion highlights the challenge of using the correct variables and equations to express the displacement in the required terms. Ultimately, the user resolved their confusion regarding the problem despite initial frustrations with the platform.
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Homework Statement



Two basketball players are essentially equal in all respects. (They are the same height, they jump with the same initial velocity, etc.) In particular, by jumping they can raise their centers of mass the same vertical distance, H (called their "vertical leap"). The first player, Arabella, wishes to shoot over the second player, Boris, and for this she needs to be as high above Boris as possible. Arabella jumps at time , and Boris jumps later, at time tR (his reaction time). Assume that Arabella has not yet reached her maximum height when Boris jumps.

Find the vertical displacement , D(t)= hA(t)-hB(t)as a function of time for the interval o<t<tR , where hA(t) is the height of the raised hands of Arabella, while hB(t) is the height of the raised hands of Boris.
Express the vertical displacement in terms of H,g , and t.

Homework Equations


This is what I'm struggling with, I would use H(t) = v0t + 1/2at^2, but it says to answer in terms of their vertical leap, g, and t.


The Attempt at a Solution



I don't know where to begin if I have to use the given quantities.
 
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in yr eqn. a (acln.) should be replaced by (-g). t for ha eqn. is t and t for hb eqn. in t + tr. now subtract hb from ha. but this expression is true for t > tr. for 0<t<tr (that is the time interval when boris has not started his flight), D(t) = ha (as hb is zero for 0<t<tr). if this a textbook problem have they given the answer?
 
It's a masteringphysics online, so no, they haven't given the answer.

I hate MP already xD
 
I figured it out, it was just MasteringPhysics being useless
 
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