How to Find Vertical Displacement Between Two Jumping Basketball Players?

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Homework Help Overview

The problem involves two basketball players, Arabella and Boris, who jump to reach their maximum heights. The goal is to determine the vertical displacement between them as a function of time, considering their equal jumping abilities and the timing of their jumps.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of kinematic equations to express height in terms of initial velocity and acceleration due to gravity. There is a focus on how to correctly set up the equations for both players, particularly in relation to the timing of Boris's jump.

Discussion Status

Some participants have provided insights on how to adjust the kinematic equations for the scenario, particularly noting the need to account for the negative acceleration due to gravity. There is an acknowledgment of the challenge posed by the problem's constraints, and some participants express frustration with the platform used for the assignment.

Contextual Notes

The discussion highlights the requirement to express the vertical displacement in terms of specific variables (H, g, and t), which adds complexity to the problem. There is also mention of the timing of jumps and how it affects the calculations.

CaYn
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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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