See the attached file for the full problem description.

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 t=0 , and Boris jumps later, at time tR (his reaction time). Assume that Arabella has not yet reached her maximum height when Boris jumps.

1) Find the vertical displacement D(t)= hA(t) - hB(t) , as a function of time for the interval 0<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 , t.
D(t) = ?

2)Find the vertical displacement D(t) between the raised hands of the two players for the time period after Boris has jumped (t>tR) but before Arabella has landed.
Express your answer in terms of t, tR , g , and H.
D(t)=?

3)What advice would you give Arabella to minimize the chance of her shot being blocked?

Shoot when you have the maximum vertical velocity.

Shoot at the instant Boris leaves the ground.

Shoot when you have the same vertical velocity as Boris.

... c) Calculate the maximum ... d) Write the expression for the displacement of the ... kg is fired vertically upwards in the barrel of a gun by a vertical net propelling ...

...Calculate the average speed and average velocity of a ... 2. The displacement is the red line, calculated by Pythagorean ... 1.8 (m/s) The initial vertical velocity = 0 ...

... Evaluate this claim by calculating the maximum height that such a jump would attain. ... Next we calculate the vertical displacement y in this duration of ...

... We calculate the tension force T=41160 newtons. ... In the vertical direction, from the force balance of the ... Using the parameters of mass and displacement of a ...

... horizontal, whereas the force is vertical (downward gravitational ... Because displacement and force are perpendicular, there's ... 3. (a) Calculate the work done on a ...

... things along the incline and calculate the time ... linear kinematics for the horizontal displacement under acceleration ... acts only in the vertical direction when ...

... a circle of slowly shrinking radius, calculate the work ... constrained to move in the vertical direction only ... coordinate y equal to the displacement measured from ...

... Neglecting the air resistance calculate: a) the time of flight; b ... instant the object hits the ground: horizontal displacement = R, Vertical displacement = 65 m. ...

... (b) Calculate the minimum ... applied is F then resolving it in horizontal and vertical direction and ... The work done is calculated by the product of force and the ...