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.
CaYn
Messages
5
Reaction score
0

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.
 
Physics news on Phys.org
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
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Vertical displacement basketball problem
Replies
8
Views
24K
What Is the Vertical Displacement Between Two Jumping Basketball Players?
Replies
3
Views
5K
Calculating Force - Basketball player landing from a jump
Replies
2
Views
3K
Finding the average acceleration of a basketball player
Replies
5
Views
3K
Vertical Jump Time Calculation for Basketball Player
Replies
1
Views
2K
Finding vertical displacement in terms of a function of two heights.
Replies
1
Views
3K
Calculating Initial Velocity for a Basketball Free Throw - Projectile Motion
Replies
3
Views
3K
What is the Ideal Angle for a Frog's Jump to Reach 3 Meters Horizontally?
Replies
19
Views
2K
Find the height of a lamp based on the velocities of projectiles
Replies
40
Views
2K
Calculating Hang Time for a Basketball Player's Vertical Jump
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top